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Finding the Fourth Proportional to 299,347.60, 413,170.60 and 172,097.12

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Solution

The fourth proportional to 299,347.60, 413,170.60 and 172,097.12 is: 237,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,347.60 : 413,170.60 = 172,097.12 : x
  2. Step 2: Convert to fraction form
    299,347.60/413,170.60 = 172,097.12/x
  3. Step 3: Cross multiply
    299,347.60x = 413,170.60 × 172,097.12
  4. Step 4: Simplify right side
    299,347.60x = 71,105,470,328.67
  5. Step 5: Solve for x
    x = 71,105,470,328.67/299,347.60
  6. Step 6: Final answer
    x = 237,534.79

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1.5x scale

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.