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Finding the Fourth Proportional to 403,402.40, 605,233.20 and 270,432.80

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Solution

The fourth proportional to 403,402.40, 605,233.20 and 270,432.80 is: 405,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,402.40 : 605,233.20 = 270,432.80 : x
  2. Step 2: Convert to fraction form
    403,402.40/605,233.20 = 270,432.80/x
  3. Step 3: Cross multiply
    403,402.40x = 605,233.20 × 270,432.80
  4. Step 4: Simplify right side
    403,402.40x = 163,674,908,928.96
  5. Step 5: Solve for x
    x = 163,674,908,928.96/403,402.40
  6. Step 6: Final answer
    x = 405,736.08

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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.