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Finding the Fourth Proportional to 289,055.60, 433,648.20 and 89,385.20

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Solution

The fourth proportional to 289,055.60, 433,648.20 and 89,385.20 is: 134,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,055.60 : 433,648.20 = 89,385.20 : x
  2. Step 2: Convert to fraction form
    289,055.60/433,648.20 = 89,385.20/x
  3. Step 3: Cross multiply
    289,055.60x = 433,648.20 × 89,385.20
  4. Step 4: Simplify right side
    289,055.60x = 38,761,731,086.64
  5. Step 5: Solve for x
    x = 38,761,731,086.64/289,055.60
  6. Step 6: Final answer
    x = 134,097.84

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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.