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Finding the Fourth Proportional to 288,414, 432,776.52 and 140,670

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Solution

The fourth proportional to 288,414, 432,776.52 and 140,670 is: 211,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414 : 432,776.52 = 140,670 : x
  2. Step 2: Convert to fraction form
    288,414/432,776.52 = 140,670/x
  3. Step 3: Cross multiply
    288,414x = 432,776.52 × 140,670
  4. Step 4: Simplify right side
    288,414x = 60,878,673,068.40
  5. Step 5: Solve for x
    x = 60,878,673,068.40/288,414
  6. Step 6: Final answer
    x = 211,080.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.