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Finding the Fourth Proportional to 723,166.18, 997,864.23 and 400,876

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Solution

The fourth proportional to 723,166.18, 997,864.23 and 400,876 is: 553,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,166.18 : 997,864.23 = 400,876 : x
  2. Step 2: Convert to fraction form
    723,166.18/997,864.23 = 400,876/x
  3. Step 3: Cross multiply
    723,166.18x = 997,864.23 × 400,876
  4. Step 4: Simplify right side
    723,166.18x = 400,019,821,065.48
  5. Step 5: Solve for x
    x = 400,019,821,065.48/723,166.18
  6. Step 6: Final answer
    x = 553,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.