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Finding the Fourth Proportional to 652,178.60, 978,267.90 and 463,221.80

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Solution

The fourth proportional to 652,178.60, 978,267.90 and 463,221.80 is: 694,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,178.60 : 978,267.90 = 463,221.80 : x
  2. Step 2: Convert to fraction form
    652,178.60/978,267.90 = 463,221.80/x
  3. Step 3: Cross multiply
    652,178.60x = 978,267.90 × 463,221.80
  4. Step 4: Simplify right side
    652,178.60x = 453,155,017,520.22
  5. Step 5: Solve for x
    x = 453,155,017,520.22/652,178.60
  6. Step 6: Final answer
    x = 694,832.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.