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Finding the Fourth Proportional to 280,373.46, 420,560.13 and 154,812.06

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Solution

The fourth proportional to 280,373.46, 420,560.13 and 154,812.06 is: 232,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,373.46 : 420,560.13 = 154,812.06 : x
  2. Step 2: Convert to fraction form
    280,373.46/420,560.13 = 154,812.06/x
  3. Step 3: Cross multiply
    280,373.46x = 420,560.13 × 154,812.06
  4. Step 4: Simplify right side
    280,373.46x = 65,107,780,079.17
  5. Step 5: Solve for x
    x = 65,107,780,079.17/280,373.46
  6. Step 6: Final answer
    x = 232,218.06

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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.