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Finding the Fourth Proportional to 513,420.14, 708,302.85 and 343,708.94

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Solution

The fourth proportional to 513,420.14, 708,302.85 and 343,708.94 is: 474,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,420.14 : 708,302.85 = 343,708.94 : x
  2. Step 2: Convert to fraction form
    513,420.14/708,302.85 = 343,708.94/x
  3. Step 3: Cross multiply
    513,420.14x = 708,302.85 × 343,708.94
  4. Step 4: Simplify right side
    513,420.14x = 243,450,022,254.33
  5. Step 5: Solve for x
    x = 243,450,022,254.33/513,420.14
  6. Step 6: Final answer
    x = 474,173.10

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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.