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Finding the Fourth Proportional to 709,263, 978,649.02 and 422,809.74

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Solution

The fourth proportional to 709,263, 978,649.02 and 422,809.74 is: 583,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,263 : 978,649.02 = 422,809.74 : x
  2. Step 2: Convert to fraction form
    709,263/978,649.02 = 422,809.74/x
  3. Step 3: Cross multiply
    709,263x = 978,649.02 × 422,809.74
  4. Step 4: Simplify right side
    709,263x = 413,782,337,697.46
  5. Step 5: Solve for x
    x = 413,782,337,697.46/709,263
  6. Step 6: Final answer
    x = 583,397.61

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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.