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Finding the Fourth Proportional to 285,964, 428,975.16 and 98,974.96

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Solution

The fourth proportional to 285,964, 428,975.16 and 98,974.96 is: 148,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,964 : 428,975.16 = 98,974.96 : x
  2. Step 2: Convert to fraction form
    285,964/428,975.16 = 98,974.96/x
  3. Step 3: Cross multiply
    285,964x = 428,975.16 × 98,974.96
  4. Step 4: Simplify right side
    285,964x = 42,457,799,301.99
  5. Step 5: Solve for x
    x = 42,457,799,301.99/285,964
  6. Step 6: Final answer
    x = 148,472.53

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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.