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Finding the Fourth Proportional to 345,719.63, 518,666.92 and 96,401.63

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Solution

The fourth proportional to 345,719.63, 518,666.92 and 96,401.63 is: 144,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,719.63 : 518,666.92 = 96,401.63 : x
  2. Step 2: Convert to fraction form
    345,719.63/518,666.92 = 96,401.63/x
  3. Step 3: Cross multiply
    345,719.63x = 518,666.92 × 96,401.63
  4. Step 4: Simplify right side
    345,719.63x = 50,000,333,680.74
  5. Step 5: Solve for x
    x = 50,000,333,680.74/345,719.63
  6. Step 6: Final answer
    x = 144,626.83

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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.