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Finding the Fourth Proportional to 723,132.09, 997,817.40 and 400,842

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Solution

The fourth proportional to 723,132.09, 997,817.40 and 400,842 is: 553,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,132.09 : 997,817.40 = 400,842 : x
  2. Step 2: Convert to fraction form
    723,132.09/997,817.40 = 400,842/x
  3. Step 3: Cross multiply
    723,132.09x = 997,817.40 × 400,842
  4. Step 4: Simplify right side
    723,132.09x = 399,967,122,250.80
  5. Step 5: Solve for x
    x = 399,967,122,250.80/723,132.09
  6. Step 6: Final answer
    x = 553,103.82

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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.