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Finding the Fourth Proportional to 779,405, 1,165,730.16 and 458,792.78

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Solution

The fourth proportional to 779,405, 1,165,730.16 and 458,792.78 is: 686,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,405 : 1,165,730.16 = 458,792.78 : x
  2. Step 2: Convert to fraction form
    779,405/1,165,730.16 = 458,792.78/x
  3. Step 3: Cross multiply
    779,405x = 1,165,730.16 × 458,792.78
  4. Step 4: Simplify right side
    779,405x = 534,828,580,836.25
  5. Step 5: Solve for x
    x = 534,828,580,836.25/779,405
  6. Step 6: Final answer
    x = 686,201.12

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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.