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Finding the Fourth Proportional to 815,526, 1,125,425.88 and 457,830

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Solution

The fourth proportional to 815,526, 1,125,425.88 and 457,830 is: 631,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,526 : 1,125,425.88 = 457,830 : x
  2. Step 2: Convert to fraction form
    815,526/1,125,425.88 = 457,830/x
  3. Step 3: Cross multiply
    815,526x = 1,125,425.88 × 457,830
  4. Step 4: Simplify right side
    815,526x = 515,253,730,640.40
  5. Step 5: Solve for x
    x = 515,253,730,640.40/815,526
  6. Step 6: Final answer
    x = 631,805.40

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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.