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Finding the Fourth Proportional to 288,071.60, 431,740.20 and 161,711.60

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Solution

The fourth proportional to 288,071.60, 431,740.20 and 161,711.60 is: 242,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.60 : 431,740.20 = 161,711.60 : x
  2. Step 2: Convert to fraction form
    288,071.60/431,740.20 = 161,711.60/x
  3. Step 3: Cross multiply
    288,071.60x = 431,740.20 × 161,711.60
  4. Step 4: Simplify right side
    288,071.60x = 69,817,398,526.32
  5. Step 5: Solve for x
    x = 69,817,398,526.32/288,071.60
  6. Step 6: Final answer
    x = 242,361.27

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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.