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Finding the Fourth Proportional to 709,330.75, 978,742.51 and 422,877.49

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Solution

The fourth proportional to 709,330.75, 978,742.51 and 422,877.49 is: 583,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,330.75 : 978,742.51 = 422,877.49 : x
  2. Step 2: Convert to fraction form
    709,330.75/978,742.51 = 422,877.49/x
  3. Step 3: Cross multiply
    709,330.75x = 978,742.51 × 422,877.49
  4. Step 4: Simplify right side
    709,330.75x = 413,888,175,985.10
  5. Step 5: Solve for x
    x = 413,888,175,985.10/709,330.75
  6. Step 6: Final answer
    x = 583,491.09

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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.