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Finding the Fourth Proportional to 409,117.48, 613,759.90 and 172,460.20

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Solution

The fourth proportional to 409,117.48, 613,759.90 and 172,460.20 is: 258,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,117.48 : 613,759.90 = 172,460.20 : x
  2. Step 2: Convert to fraction form
    409,117.48/613,759.90 = 172,460.20/x
  3. Step 3: Cross multiply
    409,117.48x = 613,759.90 × 172,460.20
  4. Step 4: Simplify right side
    409,117.48x = 105,849,155,105.98
  5. Step 5: Solve for x
    x = 105,849,155,105.98/409,117.48
  6. Step 6: Final answer
    x = 258,725.57

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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.