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Finding the Fourth Proportional to 408,966.16, 564,362.30 and 227,678.10

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Solution

The fourth proportional to 408,966.16, 564,362.30 and 227,678.10 is: 314,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,966.16 : 564,362.30 = 227,678.10 : x
  2. Step 2: Convert to fraction form
    408,966.16/564,362.30 = 227,678.10/x
  3. Step 3: Cross multiply
    408,966.16x = 564,362.30 × 227,678.10
  4. Step 4: Simplify right side
    408,966.16x = 128,492,936,175.63
  5. Step 5: Solve for x
    x = 128,492,936,175.63/408,966.16
  6. Step 6: Final answer
    x = 314,189.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.