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Finding the Fourth Proportional to 310,549.75, 428,505.22 and 174,564.82

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Solution

The fourth proportional to 310,549.75, 428,505.22 and 174,564.82 is: 240,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,549.75 : 428,505.22 = 174,564.82 : x
  2. Step 2: Convert to fraction form
    310,549.75/428,505.22 = 174,564.82/x
  3. Step 3: Cross multiply
    310,549.75x = 428,505.22 × 174,564.82
  4. Step 4: Simplify right side
    310,549.75x = 74,801,937,352.20
  5. Step 5: Solve for x
    x = 74,801,937,352.20/310,549.75
  6. Step 6: Final answer
    x = 240,869.42

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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.