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Finding the Fourth Proportional to 307,811.80, 461,717.70 and 97,466.20

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Solution

The fourth proportional to 307,811.80, 461,717.70 and 97,466.20 is: 146,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,811.80 : 461,717.70 = 97,466.20 : x
  2. Step 2: Convert to fraction form
    307,811.80/461,717.70 = 97,466.20/x
  3. Step 3: Cross multiply
    307,811.80x = 461,717.70 × 97,466.20
  4. Step 4: Simplify right side
    307,811.80x = 45,001,869,691.74
  5. Step 5: Solve for x
    x = 45,001,869,691.74/307,811.80
  6. Step 6: Final answer
    x = 146,199.30

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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.