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Finding the Fourth Proportional to 658,455.48, 986,652.90 and 509,063.94

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Solution

The fourth proportional to 658,455.48, 986,652.90 and 509,063.94 is: 762,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,455.48 : 986,652.90 = 509,063.94 : x
  2. Step 2: Convert to fraction form
    658,455.48/986,652.90 = 509,063.94/x
  3. Step 3: Cross multiply
    658,455.48x = 986,652.90 × 509,063.94
  4. Step 4: Simplify right side
    658,455.48x = 502,269,412,686.43
  5. Step 5: Solve for x
    x = 502,269,412,686.43/658,455.48
  6. Step 6: Final answer
    x = 762,799.35

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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.