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Finding the Fourth Proportional to 307,416.70, 461,189.85 and 129,832.30

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Solution

The fourth proportional to 307,416.70, 461,189.85 and 129,832.30 is: 194,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,416.70 : 461,189.85 = 129,832.30 : x
  2. Step 2: Convert to fraction form
    307,416.70/461,189.85 = 129,832.30/x
  3. Step 3: Cross multiply
    307,416.70x = 461,189.85 × 129,832.30
  4. Step 4: Simplify right side
    307,416.70x = 59,877,338,962.16
  5. Step 5: Solve for x
    x = 59,877,338,962.16/307,416.70
  6. Step 6: Final answer
    x = 194,775.82

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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.