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Finding the Fourth Proportional to 292,332.87, 403,419.13 and 158,196.87

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Solution

The fourth proportional to 292,332.87, 403,419.13 and 158,196.87 is: 218,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,332.87 : 403,419.13 = 158,196.87 : x
  2. Step 2: Convert to fraction form
    292,332.87/403,419.13 = 158,196.87/x
  3. Step 3: Cross multiply
    292,332.87x = 403,419.13 × 158,196.87
  4. Step 4: Simplify right side
    292,332.87x = 63,819,643,664.12
  5. Step 5: Solve for x
    x = 63,819,643,664.12/292,332.87
  6. Step 6: Final answer
    x = 218,311.56

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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.