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Finding the Fourth Proportional to 309,052.58, 463,737.08 and 147,129.88

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Solution

The fourth proportional to 309,052.58, 463,737.08 and 147,129.88 is: 220,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,052.58 : 463,737.08 = 147,129.88 : x
  2. Step 2: Convert to fraction form
    309,052.58/463,737.08 = 147,129.88/x
  3. Step 3: Cross multiply
    309,052.58x = 463,737.08 × 147,129.88
  4. Step 4: Simplify right side
    309,052.58x = 68,229,580,931.95
  5. Step 5: Solve for x
    x = 68,229,580,931.95/309,052.58
  6. Step 6: Final answer
    x = 220,770.14

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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.