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Finding the Fourth Proportional to 520,083.40, 729,691.40 and 520,083.40

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Solution

The fourth proportional to 520,083.40, 729,691.40 and 520,083.40 is: 729,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.40 : 729,691.40 = 520,083.40 : x
  2. Step 2: Convert to fraction form
    520,083.40/729,691.40 = 520,083.40/x
  3. Step 3: Cross multiply
    520,083.40x = 729,691.40 × 520,083.40
  4. Step 4: Simplify right side
    520,083.40x = 379,500,384,262.76
  5. Step 5: Solve for x
    x = 379,500,384,262.76/520,083.40
  6. Step 6: Final answer
    x = 729,691.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.