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Finding the Fourth Proportional to 309,255.48, 463,973.13 and 129,425.76

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Solution

The fourth proportional to 309,255.48, 463,973.13 and 129,425.76 is: 194,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,255.48 : 463,973.13 = 129,425.76 : x
  2. Step 2: Convert to fraction form
    309,255.48/463,973.13 = 129,425.76/x
  3. Step 3: Cross multiply
    309,255.48x = 463,973.13 × 129,425.76
  4. Step 4: Simplify right side
    309,255.48x = 60,050,074,969.83
  5. Step 5: Solve for x
    x = 60,050,074,969.83/309,255.48
  6. Step 6: Final answer
    x = 194,176.27

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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.