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Finding the Fourth Proportional to 268,655.40, 403,274.70 and 209,752.20

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Solution

The fourth proportional to 268,655.40, 403,274.70 and 209,752.20 is: 314,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,655.40 : 403,274.70 = 209,752.20 : x
  2. Step 2: Convert to fraction form
    268,655.40/403,274.70 = 209,752.20/x
  3. Step 3: Cross multiply
    268,655.40x = 403,274.70 × 209,752.20
  4. Step 4: Simplify right side
    268,655.40x = 84,587,755,529.34
  5. Step 5: Solve for x
    x = 84,587,755,529.34/268,655.40
  6. Step 6: Final answer
    x = 314,855.97

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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.