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Finding the Fourth Proportional to 242,202.64, 363,306 and 84,430.80

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Solution

The fourth proportional to 242,202.64, 363,306 and 84,430.80 is: 126,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,202.64 : 363,306 = 84,430.80 : x
  2. Step 2: Convert to fraction form
    242,202.64/363,306 = 84,430.80/x
  3. Step 3: Cross multiply
    242,202.64x = 363,306 × 84,430.80
  4. Step 4: Simplify right side
    242,202.64x = 30,674,216,224.80
  5. Step 5: Solve for x
    x = 30,674,216,224.80/242,202.64
  6. Step 6: Final answer
    x = 126,646.91

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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.