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Finding the Fourth Proportional to 498,779.50, 688,319.36 and 272,425

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Solution

The fourth proportional to 498,779.50, 688,319.36 and 272,425 is: 375,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,779.50 : 688,319.36 = 272,425 : x
  2. Step 2: Convert to fraction form
    498,779.50/688,319.36 = 272,425/x
  3. Step 3: Cross multiply
    498,779.50x = 688,319.36 × 272,425
  4. Step 4: Simplify right side
    498,779.50x = 187,515,401,648
  5. Step 5: Solve for x
    x = 187,515,401,648/498,779.50
  6. Step 6: Final answer
    x = 375,948.49

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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.