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Finding the Fourth Proportional to 431,999.95, 647,999.93 and 242,265.55

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Solution

The fourth proportional to 431,999.95, 647,999.93 and 242,265.55 is: 363,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.95 : 647,999.93 = 242,265.55 : x
  2. Step 2: Convert to fraction form
    431,999.95/647,999.93 = 242,265.55/x
  3. Step 3: Cross multiply
    431,999.95x = 647,999.93 × 242,265.55
  4. Step 4: Simplify right side
    431,999.95x = 156,988,058,230.08
  5. Step 5: Solve for x
    x = 156,988,058,230.08/431,999.95
  6. Step 6: Final answer
    x = 363,398.33

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1.5x scale

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.