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Finding the Fourth Proportional to 509,077.52, 702,516.84 and 282,715.28

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Solution

The fourth proportional to 509,077.52, 702,516.84 and 282,715.28 is: 390,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,077.52 : 702,516.84 = 282,715.28 : x
  2. Step 2: Convert to fraction form
    509,077.52/702,516.84 = 282,715.28/x
  3. Step 3: Cross multiply
    509,077.52x = 702,516.84 × 282,715.28
  4. Step 4: Simplify right side
    509,077.52x = 198,612,245,125.32
  5. Step 5: Solve for x
    x = 198,612,245,125.32/509,077.52
  6. Step 6: Final answer
    x = 390,141.46

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1.5x scale

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.