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Finding the Fourth Proportional to 238,404, 328,985.76 and 142,892.16

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Solution

The fourth proportional to 238,404, 328,985.76 and 142,892.16 is: 197,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,404 : 328,985.76 = 142,892.16 : x
  2. Step 2: Convert to fraction form
    238,404/328,985.76 = 142,892.16/x
  3. Step 3: Cross multiply
    238,404x = 328,985.76 × 142,892.16
  4. Step 4: Simplify right side
    238,404x = 47,009,485,855.64
  5. Step 5: Solve for x
    x = 47,009,485,855.64/238,404
  6. Step 6: Final answer
    x = 197,184.13

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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.