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Finding the Fourth Proportional to 289,717.20, 434,575.80 and 147,999.60

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Solution

The fourth proportional to 289,717.20, 434,575.80 and 147,999.60 is: 221,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,717.20 : 434,575.80 = 147,999.60 : x
  2. Step 2: Convert to fraction form
    289,717.20/434,575.80 = 147,999.60/x
  3. Step 3: Cross multiply
    289,717.20x = 434,575.80 × 147,999.60
  4. Step 4: Simplify right side
    289,717.20x = 64,317,044,569.68
  5. Step 5: Solve for x
    x = 64,317,044,569.68/289,717.20
  6. Step 6: Final answer
    x = 221,999.40

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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.