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Finding the Fourth Proportional to 658,070.26, 986,451.47 and 457,970.27

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Solution

The fourth proportional to 658,070.26, 986,451.47 and 457,970.27 is: 686,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,070.26 : 986,451.47 = 457,970.27 : x
  2. Step 2: Convert to fraction form
    658,070.26/986,451.47 = 457,970.27/x
  3. Step 3: Cross multiply
    658,070.26x = 986,451.47 × 457,970.27
  4. Step 4: Simplify right side
    658,070.26x = 451,765,441,296.25
  5. Step 5: Solve for x
    x = 451,765,441,296.25/658,070.26
  6. Step 6: Final answer
    x = 686,500.31

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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.