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Finding the Fourth Proportional to 408,985.65, 564,389.19 and 227,697.66

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Solution

The fourth proportional to 408,985.65, 564,389.19 and 227,697.66 is: 314,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,985.65 : 564,389.19 = 227,697.66 : x
  2. Step 2: Convert to fraction form
    408,985.65/564,389.19 = 227,697.66/x
  3. Step 3: Cross multiply
    408,985.65x = 564,389.19 × 227,697.66
  4. Step 4: Simplify right side
    408,985.65x = 128,510,097,892.30
  5. Step 5: Solve for x
    x = 128,510,097,892.30/408,985.65
  6. Step 6: Final answer
    x = 314,216.64

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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.