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Finding the Fourth Proportional to 225,031.12, 310,396.59 and 144,330.82

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Solution

The fourth proportional to 225,031.12, 310,396.59 and 144,330.82 is: 199,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,031.12 : 310,396.59 = 144,330.82 : x
  2. Step 2: Convert to fraction form
    225,031.12/310,396.59 = 144,330.82/x
  3. Step 3: Cross multiply
    225,031.12x = 310,396.59 × 144,330.82
  4. Step 4: Simplify right side
    225,031.12x = 44,799,794,359.90
  5. Step 5: Solve for x
    x = 44,799,794,359.90/225,031.12
  6. Step 6: Final answer
    x = 199,082.66

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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.