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Finding the Fourth Proportional to 658,458.48, 986,657.40 and 509,066.94

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Solution

The fourth proportional to 658,458.48, 986,657.40 and 509,066.94 is: 762,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,458.48 : 986,657.40 = 509,066.94 : x
  2. Step 2: Convert to fraction form
    658,458.48/986,657.40 = 509,066.94/x
  3. Step 3: Cross multiply
    658,458.48x = 986,657.40 × 509,066.94
  4. Step 4: Simplify right side
    658,458.48x = 502,274,663,446.36
  5. Step 5: Solve for x
    x = 502,274,663,446.36/658,458.48
  6. Step 6: Final answer
    x = 762,803.85

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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.