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Finding the Fourth Proportional to 292,386.78, 438,593.13 and 82,020.06

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Solution

The fourth proportional to 292,386.78, 438,593.13 and 82,020.06 is: 123,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,386.78 : 438,593.13 = 82,020.06 : x
  2. Step 2: Convert to fraction form
    292,386.78/438,593.13 = 82,020.06/x
  3. Step 3: Cross multiply
    292,386.78x = 438,593.13 × 82,020.06
  4. Step 4: Simplify right side
    292,386.78x = 35,973,434,838.19
  5. Step 5: Solve for x
    x = 35,973,434,838.19/292,386.78
  6. Step 6: Final answer
    x = 123,033.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.