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Finding the Fourth Proportional to 242,277.40, 363,416.10 and 123,909.40

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Solution

The fourth proportional to 242,277.40, 363,416.10 and 123,909.40 is: 185,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,277.40 : 363,416.10 = 123,909.40 : x
  2. Step 2: Convert to fraction form
    242,277.40/363,416.10 = 123,909.40/x
  3. Step 3: Cross multiply
    242,277.40x = 363,416.10 × 123,909.40
  4. Step 4: Simplify right side
    242,277.40x = 45,030,670,901.34
  5. Step 5: Solve for x
    x = 45,030,670,901.34/242,277.40
  6. Step 6: Final answer
    x = 185,864.10

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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.