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Finding the Fourth Proportional to 238,141.64, 328,651.90 and 157,429.20

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Solution

The fourth proportional to 238,141.64, 328,651.90 and 157,429.20 is: 217,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,141.64 : 328,651.90 = 157,429.20 : x
  2. Step 2: Convert to fraction form
    238,141.64/328,651.90 = 157,429.20/x
  3. Step 3: Cross multiply
    238,141.64x = 328,651.90 × 157,429.20
  4. Step 4: Simplify right side
    238,141.64x = 51,739,405,695.48
  5. Step 5: Solve for x
    x = 51,739,405,695.48/238,141.64
  6. Step 6: Final answer
    x = 217,263.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.