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Finding the Fourth Proportional to 292,012.88, 402,978.38 and 157,876.88

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Solution

The fourth proportional to 292,012.88, 402,978.38 and 157,876.88 is: 217,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,012.88 : 402,978.38 = 157,876.88 : x
  2. Step 2: Convert to fraction form
    292,012.88/402,978.38 = 157,876.88/x
  3. Step 3: Cross multiply
    292,012.88x = 402,978.38 × 157,876.88
  4. Step 4: Simplify right side
    292,012.88x = 63,620,966,537.58
  5. Step 5: Solve for x
    x = 63,620,966,537.58/292,012.88
  6. Step 6: Final answer
    x = 217,870.42

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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.