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Finding the Fourth Proportional to 391,509, 587,263.68 and 169,893

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Solution

The fourth proportional to 391,509, 587,263.68 and 169,893 is: 254,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,509 : 587,263.68 = 169,893 : x
  2. Step 2: Convert to fraction form
    391,509/587,263.68 = 169,893/x
  3. Step 3: Cross multiply
    391,509x = 587,263.68 × 169,893
  4. Step 4: Simplify right side
    391,509x = 99,771,988,386.24
  5. Step 5: Solve for x
    x = 99,771,988,386.24/391,509
  6. Step 6: Final answer
    x = 254,839.58

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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.