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Finding the Fourth Proportional to 390,963.86, 586,494.09 and 138,192.23

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Solution

The fourth proportional to 390,963.86, 586,494.09 and 138,192.23 is: 207,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,963.86 : 586,494.09 = 138,192.23 : x
  2. Step 2: Convert to fraction form
    390,963.86/586,494.09 = 138,192.23/x
  3. Step 3: Cross multiply
    390,963.86x = 586,494.09 × 138,192.23
  4. Step 4: Simplify right side
    390,963.86x = 81,048,924,734.79
  5. Step 5: Solve for x
    x = 81,048,924,734.79/390,963.86
  6. Step 6: Final answer
    x = 207,305.41

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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.