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Finding the Fourth Proportional to 409,627.20, 615,362.40 and 285,211.20

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Solution

The fourth proportional to 409,627.20, 615,362.40 and 285,211.20 is: 428,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,627.20 : 615,362.40 = 285,211.20 : x
  2. Step 2: Convert to fraction form
    409,627.20/615,362.40 = 285,211.20/x
  3. Step 3: Cross multiply
    409,627.20x = 615,362.40 × 285,211.20
  4. Step 4: Simplify right side
    409,627.20x = 175,508,248,538.88
  5. Step 5: Solve for x
    x = 175,508,248,538.88/409,627.20
  6. Step 6: Final answer
    x = 428,458.48

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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.