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Finding the Fourth Proportional to 709,033.78, 978,469.68 and 386,750.80

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Solution

The fourth proportional to 709,033.78, 978,469.68 and 386,750.80 is: 533,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,033.78 : 978,469.68 = 386,750.80 : x
  2. Step 2: Convert to fraction form
    709,033.78/978,469.68 = 386,750.80/x
  3. Step 3: Cross multiply
    709,033.78x = 978,469.68 × 386,750.80
  4. Step 4: Simplify right side
    709,033.78x = 378,423,931,515.74
  5. Step 5: Solve for x
    x = 378,423,931,515.74/709,033.78
  6. Step 6: Final answer
    x = 533,717.78

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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.