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Finding the Fourth Proportional to 585,422.78, 807,587.55 and 391,838.58

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Solution

The fourth proportional to 585,422.78, 807,587.55 and 391,838.58 is: 540,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,422.78 : 807,587.55 = 391,838.58 : x
  2. Step 2: Convert to fraction form
    585,422.78/807,587.55 = 391,838.58/x
  3. Step 3: Cross multiply
    585,422.78x = 807,587.55 × 391,838.58
  4. Step 4: Simplify right side
    585,422.78x = 316,443,958,817.68
  5. Step 5: Solve for x
    x = 316,443,958,817.68/585,422.78
  6. Step 6: Final answer
    x = 540,539.20

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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.