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Finding the Fourth Proportional to 652,171.52, 899,615.40 and 410,070.80

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Solution

The fourth proportional to 652,171.52, 899,615.40 and 410,070.80 is: 565,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,171.52 : 899,615.40 = 410,070.80 : x
  2. Step 2: Convert to fraction form
    652,171.52/899,615.40 = 410,070.80/x
  3. Step 3: Cross multiply
    652,171.52x = 899,615.40 × 410,070.80
  4. Step 4: Simplify right side
    652,171.52x = 368,906,006,770.32
  5. Step 5: Solve for x
    x = 368,906,006,770.32/652,171.52
  6. Step 6: Final answer
    x = 565,657.95

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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.