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Finding the Fourth Proportional to 349,002.88, 523,498.56 and 86,346.88

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Solution

The fourth proportional to 349,002.88, 523,498.56 and 86,346.88 is: 129,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,002.88 : 523,498.56 = 86,346.88 : x
  2. Step 2: Convert to fraction form
    349,002.88/523,498.56 = 86,346.88/x
  3. Step 3: Cross multiply
    349,002.88x = 523,498.56 × 86,346.88
  4. Step 4: Simplify right side
    349,002.88x = 45,202,467,340.49
  5. Step 5: Solve for x
    x = 45,202,467,340.49/349,002.88
  6. Step 6: Final answer
    x = 129,518.89

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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.