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Finding the Fourth Proportional to 766,251, 1,056,395.70 and 536,499.24

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Solution

The fourth proportional to 766,251, 1,056,395.70 and 536,499.24 is: 739,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,251 : 1,056,395.70 = 536,499.24 : x
  2. Step 2: Convert to fraction form
    766,251/1,056,395.70 = 536,499.24/x
  3. Step 3: Cross multiply
    766,251x = 1,056,395.70 × 536,499.24
  4. Step 4: Simplify right side
    766,251x = 566,755,490,189.27
  5. Step 5: Solve for x
    x = 566,755,490,189.27/766,251
  6. Step 6: Final answer
    x = 739,647.31

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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.