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Finding the Fourth Proportional to 310,241.24, 428,173 and 174,275.24

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Solution

The fourth proportional to 310,241.24, 428,173 and 174,275.24 is: 240,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,241.24 : 428,173 = 174,275.24 : x
  2. Step 2: Convert to fraction form
    310,241.24/428,173 = 174,275.24/x
  3. Step 3: Cross multiply
    310,241.24x = 428,173 × 174,275.24
  4. Step 4: Simplify right side
    310,241.24x = 74,619,952,336.52
  5. Step 5: Solve for x
    x = 74,619,952,336.52/310,241.24
  6. Step 6: Final answer
    x = 240,522.35

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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.