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Finding the Fourth Proportional to 345,709, 518,650.98 and 96,391

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Solution

The fourth proportional to 345,709, 518,650.98 and 96,391 is: 144,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,709 : 518,650.98 = 96,391 : x
  2. Step 2: Convert to fraction form
    345,709/518,650.98 = 96,391/x
  3. Step 3: Cross multiply
    345,709x = 518,650.98 × 96,391
  4. Step 4: Simplify right side
    345,709x = 49,993,286,613.18
  5. Step 5: Solve for x
    x = 49,993,286,613.18/345,709
  6. Step 6: Final answer
    x = 144,610.89

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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.