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Finding the Fourth Proportional to 390,708.98, 586,060.17 and 305,391.60

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Solution

The fourth proportional to 390,708.98, 586,060.17 and 305,391.60 is: 458,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,708.98 : 586,060.17 = 305,391.60 : x
  2. Step 2: Convert to fraction form
    390,708.98/586,060.17 = 305,391.60/x
  3. Step 3: Cross multiply
    390,708.98x = 586,060.17 × 305,391.60
  4. Step 4: Simplify right side
    390,708.98x = 178,977,853,012.57
  5. Step 5: Solve for x
    x = 178,977,853,012.57/390,708.98
  6. Step 6: Final answer
    x = 458,084.82

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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.