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Finding the Fourth Proportional to 285,957.36, 428,657.13 and 136,157.40

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Solution

The fourth proportional to 285,957.36, 428,657.13 and 136,157.40 is: 204,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,957.36 : 428,657.13 = 136,157.40 : x
  2. Step 2: Convert to fraction form
    285,957.36/428,657.13 = 136,157.40/x
  3. Step 3: Cross multiply
    285,957.36x = 428,657.13 × 136,157.40
  4. Step 4: Simplify right side
    285,957.36x = 58,364,840,312.26
  5. Step 5: Solve for x
    x = 58,364,840,312.26/285,957.36
  6. Step 6: Final answer
    x = 204,103.30

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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.