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Finding the Fourth Proportional to 460,306.64, 690,443.63 and 140,445.59

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Solution

The fourth proportional to 460,306.64, 690,443.63 and 140,445.59 is: 210,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,306.64 : 690,443.63 = 140,445.59 : x
  2. Step 2: Convert to fraction form
    460,306.64/690,443.63 = 140,445.59/x
  3. Step 3: Cross multiply
    460,306.64x = 690,443.63 × 140,445.59
  4. Step 4: Simplify right side
    460,306.64x = 96,969,758,822.65
  5. Step 5: Solve for x
    x = 96,969,758,822.65/460,306.64
  6. Step 6: Final answer
    x = 210,663.40

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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.