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Finding the Fourth Proportional to 288,272.76, 432,409.20 and 147,941.88

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Solution

The fourth proportional to 288,272.76, 432,409.20 and 147,941.88 is: 221,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,272.76 : 432,409.20 = 147,941.88 : x
  2. Step 2: Convert to fraction form
    288,272.76/432,409.20 = 147,941.88/x
  3. Step 3: Cross multiply
    288,272.76x = 432,409.20 × 147,941.88
  4. Step 4: Simplify right side
    288,272.76x = 63,971,429,977.30
  5. Step 5: Solve for x
    x = 63,971,429,977.30/288,272.76
  6. Step 6: Final answer
    x = 221,912.85

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1.5x scale

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.