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Finding the Fourth Proportional to 529,344.24, 730,412.82 and 314,478.78

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Solution

The fourth proportional to 529,344.24, 730,412.82 and 314,478.78 is: 433,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,344.24 : 730,412.82 = 314,478.78 : x
  2. Step 2: Convert to fraction form
    529,344.24/730,412.82 = 314,478.78/x
  3. Step 3: Cross multiply
    529,344.24x = 730,412.82 × 314,478.78
  4. Step 4: Simplify right side
    529,344.24x = 229,699,332,529.96
  5. Step 5: Solve for x
    x = 229,699,332,529.96/529,344.24
  6. Step 6: Final answer
    x = 433,931.86

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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.