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Finding the Fourth Proportional to 509,089.92, 702,545.76 and 282,735.44

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Solution

The fourth proportional to 509,089.92, 702,545.76 and 282,735.44 is: 390,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,089.92 : 702,545.76 = 282,735.44 : x
  2. Step 2: Convert to fraction form
    509,089.92/702,545.76 = 282,735.44/x
  3. Step 3: Cross multiply
    509,089.92x = 702,545.76 × 282,735.44
  4. Step 4: Simplify right side
    509,089.92x = 198,634,584,573.73
  5. Step 5: Solve for x
    x = 198,634,584,573.73/509,089.92
  6. Step 6: Final answer
    x = 390,175.83

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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.