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Finding the Fourth Proportional to 657,104.70, 985,657.05 and 408,272.70

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Solution

The fourth proportional to 657,104.70, 985,657.05 and 408,272.70 is: 612,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,104.70 : 985,657.05 = 408,272.70 : x
  2. Step 2: Convert to fraction form
    657,104.70/985,657.05 = 408,272.70/x
  3. Step 3: Cross multiply
    657,104.70x = 985,657.05 × 408,272.70
  4. Step 4: Simplify right side
    657,104.70x = 402,416,865,077.54
  5. Step 5: Solve for x
    x = 402,416,865,077.54/657,104.70
  6. Step 6: Final answer
    x = 612,409.05

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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.