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Finding the Fourth Proportional to 462,399, 693,598.50 and 129,975

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Solution

The fourth proportional to 462,399, 693,598.50 and 129,975 is: 194,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,399 : 693,598.50 = 129,975 : x
  2. Step 2: Convert to fraction form
    462,399/693,598.50 = 129,975/x
  3. Step 3: Cross multiply
    462,399x = 693,598.50 × 129,975
  4. Step 4: Simplify right side
    462,399x = 90,150,465,037.50
  5. Step 5: Solve for x
    x = 90,150,465,037.50/462,399
  6. Step 6: Final answer
    x = 194,962.50

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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.