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Finding the Fourth Proportional to 398,631, 597,948.66 and 103,143

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Solution

The fourth proportional to 398,631, 597,948.66 and 103,143 is: 154,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,631 : 597,948.66 = 103,143 : x
  2. Step 2: Convert to fraction form
    398,631/597,948.66 = 103,143/x
  3. Step 3: Cross multiply
    398,631x = 597,948.66 × 103,143
  4. Step 4: Simplify right side
    398,631x = 61,674,218,638.38
  5. Step 5: Solve for x
    x = 61,674,218,638.38/398,631
  6. Step 6: Final answer
    x = 154,715.06

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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.