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Finding the Fourth Proportional to 409,643.20, 615,386.40 and 285,227.20

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Solution

The fourth proportional to 409,643.20, 615,386.40 and 285,227.20 is: 428,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,643.20 : 615,386.40 = 285,227.20 : x
  2. Step 2: Convert to fraction form
    409,643.20/615,386.40 = 285,227.20/x
  3. Step 3: Cross multiply
    409,643.20x = 615,386.40 × 285,227.20
  4. Step 4: Simplify right side
    409,643.20x = 175,524,939,790.08
  5. Step 5: Solve for x
    x = 175,524,939,790.08/409,643.20
  6. Step 6: Final answer
    x = 428,482.49

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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.