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Finding the Fourth Proportional to 779,403, 1,165,727.16 and 458,790.78

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Solution

The fourth proportional to 779,403, 1,165,727.16 and 458,790.78 is: 686,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,403 : 1,165,727.16 = 458,790.78 : x
  2. Step 2: Convert to fraction form
    779,403/1,165,727.16 = 458,790.78/x
  3. Step 3: Cross multiply
    779,403x = 1,165,727.16 × 458,790.78
  4. Step 4: Simplify right side
    779,403x = 534,824,873,003.59
  5. Step 5: Solve for x
    x = 534,824,873,003.59/779,403
  6. Step 6: Final answer
    x = 686,198.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.