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Finding the Fourth Proportional to 1,429,947.95, 1,972,504.43 and 856,655.97

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Solution

The fourth proportional to 1,429,947.95, 1,972,504.43 and 856,655.97 is: 1,181,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,947.95 : 1,972,504.43 = 856,655.97 : x
  2. Step 2: Convert to fraction form
    1,429,947.95/1,972,504.43 = 856,655.97/x
  3. Step 3: Cross multiply
    1,429,947.95x = 1,972,504.43 × 856,655.97
  4. Step 4: Simplify right side
    1,429,947.95x = 1,689,757,695,810.95
  5. Step 5: Solve for x
    x = 1,689,757,695,810.95/1,429,947.95
  6. Step 6: Final answer
    x = 1,181,691.75

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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.