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Finding the Fourth Proportional to 292,530.31, 403,689.66 and 158,394.31

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Solution

The fourth proportional to 292,530.31, 403,689.66 and 158,394.31 is: 218,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,530.31 : 403,689.66 = 158,394.31 : x
  2. Step 2: Convert to fraction form
    292,530.31/403,689.66 = 158,394.31/x
  3. Step 3: Cross multiply
    292,530.31x = 403,689.66 × 158,394.31
  4. Step 4: Simplify right side
    292,530.31x = 63,942,145,149.83
  5. Step 5: Solve for x
    x = 63,942,145,149.83/292,530.31
  6. Step 6: Final answer
    x = 218,582.97

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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.