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Finding the Fourth Proportional to 499,002.60, 688,623 and 269,559.84

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Solution

The fourth proportional to 499,002.60, 688,623 and 269,559.84 is: 371,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,002.60 : 688,623 = 269,559.84 : x
  2. Step 2: Convert to fraction form
    499,002.60/688,623 = 269,559.84/x
  3. Step 3: Cross multiply
    499,002.60x = 688,623 × 269,559.84
  4. Step 4: Simplify right side
    499,002.60x = 185,625,105,700.32
  5. Step 5: Solve for x
    x = 185,625,105,700.32/499,002.60
  6. Step 6: Final answer
    x = 371,992.26

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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.