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Finding the Fourth Proportional to 288,647.60, 432,981.30 and 88,966.40

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Solution

The fourth proportional to 288,647.60, 432,981.30 and 88,966.40 is: 133,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,647.60 : 432,981.30 = 88,966.40 : x
  2. Step 2: Convert to fraction form
    288,647.60/432,981.30 = 88,966.40/x
  3. Step 3: Cross multiply
    288,647.60x = 432,981.30 × 88,966.40
  4. Step 4: Simplify right side
    288,647.60x = 38,520,787,528.32
  5. Step 5: Solve for x
    x = 38,520,787,528.32/288,647.60
  6. Step 6: Final answer
    x = 133,452.65

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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.