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Finding the Fourth Proportional to 828,965.73, 1,143,967 and 471,269.73

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Solution

The fourth proportional to 828,965.73, 1,143,967 and 471,269.73 is: 650,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,965.73 : 1,143,967 = 471,269.73 : x
  2. Step 2: Convert to fraction form
    828,965.73/1,143,967 = 471,269.73/x
  3. Step 3: Cross multiply
    828,965.73x = 1,143,967 × 471,269.73
  4. Step 4: Simplify right side
    828,965.73x = 539,117,019,218.91
  5. Step 5: Solve for x
    x = 539,117,019,218.91/828,965.73
  6. Step 6: Final answer
    x = 650,348.98

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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.