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Finding the Fourth Proportional to 288,000.40, 432,216.60 and 147,686.80

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Solution

The fourth proportional to 288,000.40, 432,216.60 and 147,686.80 is: 221,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.40 : 432,216.60 = 147,686.80 : x
  2. Step 2: Convert to fraction form
    288,000.40/432,216.60 = 147,686.80/x
  3. Step 3: Cross multiply
    288,000.40x = 432,216.60 × 147,686.80
  4. Step 4: Simplify right side
    288,000.40x = 63,832,686,560.88
  5. Step 5: Solve for x
    x = 63,832,686,560.88/288,000.40
  6. Step 6: Final answer
    x = 221,640.96

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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.