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Finding the Fourth Proportional to 510,565.32, 704,772.92 and 401,384.80

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Solution

The fourth proportional to 510,565.32, 704,772.92 and 401,384.80 is: 554,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,565.32 : 704,772.92 = 401,384.80 : x
  2. Step 2: Convert to fraction form
    510,565.32/704,772.92 = 401,384.80/x
  3. Step 3: Cross multiply
    510,565.32x = 704,772.92 × 401,384.80
  4. Step 4: Simplify right side
    510,565.32x = 282,885,137,539.62
  5. Step 5: Solve for x
    x = 282,885,137,539.62/510,565.32
  6. Step 6: Final answer
    x = 554,062.58

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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.