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Finding the Fourth Proportional to 406,359, 609,489.97 and 106,862.91

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Solution

The fourth proportional to 406,359, 609,489.97 and 106,862.91 is: 160,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,359 : 609,489.97 = 106,862.91 : x
  2. Step 2: Convert to fraction form
    406,359/609,489.97 = 106,862.91/x
  3. Step 3: Cross multiply
    406,359x = 609,489.97 × 106,862.91
  4. Step 4: Simplify right side
    406,359x = 65,131,871,810.01
  5. Step 5: Solve for x
    x = 65,131,871,810.01/406,359
  6. Step 6: Final answer
    x = 160,281.60

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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.