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Finding the Fourth Proportional to 460,988, 691,754.16 and 194,731.28

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Solution

The fourth proportional to 460,988, 691,754.16 and 194,731.28 is: 292,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,988 : 691,754.16 = 194,731.28 : x
  2. Step 2: Convert to fraction form
    460,988/691,754.16 = 194,731.28/x
  3. Step 3: Cross multiply
    460,988x = 691,754.16 × 194,731.28
  4. Step 4: Simplify right side
    460,988x = 134,706,173,022.13
  5. Step 5: Solve for x
    x = 134,706,173,022.13/460,988
  6. Step 6: Final answer
    x = 292,211.89

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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.