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Finding the Fourth Proportional to 509,124, 702,591.12 and 282,790.56

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Solution

The fourth proportional to 509,124, 702,591.12 and 282,790.56 is: 390,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,124 : 702,591.12 = 282,790.56 : x
  2. Step 2: Convert to fraction form
    509,124/702,591.12 = 282,790.56/x
  3. Step 3: Cross multiply
    509,124x = 702,591.12 × 282,790.56
  4. Step 4: Simplify right side
    509,124x = 198,686,136,275.83
  5. Step 5: Solve for x
    x = 198,686,136,275.83/509,124
  6. Step 6: Final answer
    x = 390,250.97

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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.