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Finding the Fourth Proportional to 513,421.70, 708,304.98 and 343,710.50

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Solution

The fourth proportional to 513,421.70, 708,304.98 and 343,710.50 is: 474,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,421.70 : 708,304.98 = 343,710.50 : x
  2. Step 2: Convert to fraction form
    513,421.70/708,304.98 = 343,710.50/x
  3. Step 3: Cross multiply
    513,421.70x = 708,304.98 × 343,710.50
  4. Step 4: Simplify right side
    513,421.70x = 243,451,858,828.29
  5. Step 5: Solve for x
    x = 243,451,858,828.29/513,421.70
  6. Step 6: Final answer
    x = 474,175.24

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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.