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Finding the Fourth Proportional to 820,773, 1,132,685.82 and 514,862.28

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Solution

The fourth proportional to 820,773, 1,132,685.82 and 514,862.28 is: 710,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,773 : 1,132,685.82 = 514,862.28 : x
  2. Step 2: Convert to fraction form
    820,773/1,132,685.82 = 514,862.28/x
  3. Step 3: Cross multiply
    820,773x = 1,132,685.82 × 514,862.28
  4. Step 4: Simplify right side
    820,773x = 583,177,203,808.87
  5. Step 5: Solve for x
    x = 583,177,203,808.87/820,773
  6. Step 6: Final answer
    x = 710,521.92

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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.