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Finding the Fourth Proportional to 242,420.41, 363,406.11 and 123,830.20

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Solution

The fourth proportional to 242,420.41, 363,406.11 and 123,830.20 is: 185,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,420.41 : 363,406.11 = 123,830.20 : x
  2. Step 2: Convert to fraction form
    242,420.41/363,406.11 = 123,830.20/x
  3. Step 3: Cross multiply
    242,420.41x = 363,406.11 × 123,830.20
  4. Step 4: Simplify right side
    242,420.41x = 45,000,651,282.52
  5. Step 5: Solve for x
    x = 45,000,651,282.52/242,420.41
  6. Step 6: Final answer
    x = 185,630.62

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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.