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Finding the Fourth Proportional to 709,034.68, 978,292.92 and 433,322.20

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Solution

The fourth proportional to 709,034.68, 978,292.92 and 433,322.20 is: 597,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,034.68 : 978,292.92 = 433,322.20 : x
  2. Step 2: Convert to fraction form
    709,034.68/978,292.92 = 433,322.20/x
  3. Step 3: Cross multiply
    709,034.68x = 978,292.92 × 433,322.20
  4. Step 4: Simplify right side
    709,034.68x = 423,916,040,338.82
  5. Step 5: Solve for x
    x = 423,916,040,338.82/709,034.68
  6. Step 6: Final answer
    x = 597,877.72

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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.