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Finding the Fourth Proportional to 392,875.97, 542,172.62 and 223,111.31

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Solution

The fourth proportional to 392,875.97, 542,172.62 and 223,111.31 is: 307,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,875.97 : 542,172.62 = 223,111.31 : x
  2. Step 2: Convert to fraction form
    392,875.97/542,172.62 = 223,111.31/x
  3. Step 3: Cross multiply
    392,875.97x = 542,172.62 × 223,111.31
  4. Step 4: Simplify right side
    392,875.97x = 120,964,841,341.25
  5. Step 5: Solve for x
    x = 120,964,841,341.25/392,875.97
  6. Step 6: Final answer
    x = 307,895.75

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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.