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Finding the Fourth Proportional to 508,643.80, 763,403.10 and 224,771.20

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Solution

The fourth proportional to 508,643.80, 763,403.10 and 224,771.20 is: 337,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,643.80 : 763,403.10 = 224,771.20 : x
  2. Step 2: Convert to fraction form
    508,643.80/763,403.10 = 224,771.20/x
  3. Step 3: Cross multiply
    508,643.80x = 763,403.10 × 224,771.20
  4. Step 4: Simplify right side
    508,643.80x = 171,591,030,870.72
  5. Step 5: Solve for x
    x = 171,591,030,870.72/508,643.80
  6. Step 6: Final answer
    x = 337,350.09

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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.