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Finding the Fourth Proportional to 288,302.76, 432,454.14 and 147,971.88

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Solution

The fourth proportional to 288,302.76, 432,454.14 and 147,971.88 is: 221,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,302.76 : 432,454.14 = 147,971.88 : x
  2. Step 2: Convert to fraction form
    288,302.76/432,454.14 = 147,971.88/x
  3. Step 3: Cross multiply
    288,302.76x = 432,454.14 × 147,971.88
  4. Step 4: Simplify right side
    288,302.76x = 63,991,052,109.58
  5. Step 5: Solve for x
    x = 63,991,052,109.58/288,302.76
  6. Step 6: Final answer
    x = 221,957.82

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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.