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Finding the Fourth Proportional to 566,776, 782,139 and 312,129.28

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Solution

The fourth proportional to 566,776, 782,139 and 312,129.28 is: 430,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,776 : 782,139 = 312,129.28 : x
  2. Step 2: Convert to fraction form
    566,776/782,139 = 312,129.28/x
  3. Step 3: Cross multiply
    566,776x = 782,139 × 312,129.28
  4. Step 4: Simplify right side
    566,776x = 244,128,482,929.92
  5. Step 5: Solve for x
    x = 244,128,482,929.92/566,776
  6. Step 6: Final answer
    x = 430,731.86

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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.