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Finding the Fourth Proportional to 283,031.13, 424,422.15 and 149,880.31

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Solution

The fourth proportional to 283,031.13, 424,422.15 and 149,880.31 is: 224,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,031.13 : 424,422.15 = 149,880.31 : x
  2. Step 2: Convert to fraction form
    283,031.13/424,422.15 = 149,880.31/x
  3. Step 3: Cross multiply
    283,031.13x = 424,422.15 × 149,880.31
  4. Step 4: Simplify right side
    283,031.13x = 63,612,523,412.87
  5. Step 5: Solve for x
    x = 63,612,523,412.87/283,031.13
  6. Step 6: Final answer
    x = 224,754.51

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1.5x scale

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.