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Finding the Fourth Proportional to 309,344.80, 463,642.80 and 131,478.40

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Solution

The fourth proportional to 309,344.80, 463,642.80 and 131,478.40 is: 197,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,344.80 : 463,642.80 = 131,478.40 : x
  2. Step 2: Convert to fraction form
    309,344.80/463,642.80 = 131,478.40/x
  3. Step 3: Cross multiply
    309,344.80x = 463,642.80 × 131,478.40
  4. Step 4: Simplify right side
    309,344.80x = 60,959,013,515.52
  5. Step 5: Solve for x
    x = 60,959,013,515.52/309,344.80
  6. Step 6: Final answer
    x = 197,058.47

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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.