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Finding the Fourth Proportional to 513,421.41, 708,304.59 and 343,710.21

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Solution

The fourth proportional to 513,421.41, 708,304.59 and 343,710.21 is: 474,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,421.41 : 708,304.59 = 343,710.21 : x
  2. Step 2: Convert to fraction form
    513,421.41/708,304.59 = 343,710.21/x
  3. Step 3: Cross multiply
    513,421.41x = 708,304.59 × 343,710.21
  4. Step 4: Simplify right side
    513,421.41x = 243,451,519,372.86
  5. Step 5: Solve for x
    x = 243,451,519,372.86/513,421.41
  6. Step 6: Final answer
    x = 474,174.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.