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Finding the Fourth Proportional to 288,093.30, 432,125.55 and 147,866.10

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Solution

The fourth proportional to 288,093.30, 432,125.55 and 147,866.10 is: 221,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,093.30 : 432,125.55 = 147,866.10 : x
  2. Step 2: Convert to fraction form
    288,093.30/432,125.55 = 147,866.10/x
  3. Step 3: Cross multiply
    288,093.30x = 432,125.55 × 147,866.10
  4. Step 4: Simplify right side
    288,093.30x = 63,896,719,788.86
  5. Step 5: Solve for x
    x = 63,896,719,788.86/288,093.30
  6. Step 6: Final answer
    x = 221,791.76

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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.