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Finding the Fourth Proportional to 456,292.80, 684,516.80 and 140,690.88

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Solution

The fourth proportional to 456,292.80, 684,516.80 and 140,690.88 is: 211,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,292.80 : 684,516.80 = 140,690.88 : x
  2. Step 2: Convert to fraction form
    456,292.80/684,516.80 = 140,690.88/x
  3. Step 3: Cross multiply
    456,292.80x = 684,516.80 × 140,690.88
  4. Step 4: Simplify right side
    456,292.80x = 96,305,270,966.78
  5. Step 5: Solve for x
    x = 96,305,270,966.78/456,292.80
  6. Step 6: Final answer
    x = 211,060.25

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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.