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Finding the Fourth Proportional to 510,781.68, 704,254.14 and 319,462.92

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Solution

The fourth proportional to 510,781.68, 704,254.14 and 319,462.92 is: 440,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,781.68 : 704,254.14 = 319,462.92 : x
  2. Step 2: Convert to fraction form
    510,781.68/704,254.14 = 319,462.92/x
  3. Step 3: Cross multiply
    510,781.68x = 704,254.14 × 319,462.92
  4. Step 4: Simplify right side
    510,781.68x = 224,983,083,986.49
  5. Step 5: Solve for x
    x = 224,983,083,986.49/510,781.68
  6. Step 6: Final answer
    x = 440,468.19

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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.