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Finding the Fourth Proportional to 268,657.40, 403,277.70 and 209,754.20

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Solution

The fourth proportional to 268,657.40, 403,277.70 and 209,754.20 is: 314,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,657.40 : 403,277.70 = 209,754.20 : x
  2. Step 2: Convert to fraction form
    268,657.40/403,277.70 = 209,754.20/x
  3. Step 3: Cross multiply
    268,657.40x = 403,277.70 × 209,754.20
  4. Step 4: Simplify right side
    268,657.40x = 84,589,191,341.34
  5. Step 5: Solve for x
    x = 84,589,191,341.34/268,657.40
  6. Step 6: Final answer
    x = 314,858.97

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1.5x scale

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.