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Finding the Fourth Proportional to 406,242.78, 609,420.88 and 169,531.22

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Solution

The fourth proportional to 406,242.78, 609,420.88 and 169,531.22 is: 254,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,242.78 : 609,420.88 = 169,531.22 : x
  2. Step 2: Convert to fraction form
    406,242.78/609,420.88 = 169,531.22/x
  3. Step 3: Cross multiply
    406,242.78x = 609,420.88 × 169,531.22
  4. Step 4: Simplify right side
    406,242.78x = 103,315,865,279.87
  5. Step 5: Solve for x
    x = 103,315,865,279.87/406,242.78
  6. Step 6: Final answer
    x = 254,320.50

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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.