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Finding the Fourth Proportional to 409,362.50, 564,898.38 and 225,595.10

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Solution

The fourth proportional to 409,362.50, 564,898.38 and 225,595.10 is: 311,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,362.50 : 564,898.38 = 225,595.10 : x
  2. Step 2: Convert to fraction form
    409,362.50/564,898.38 = 225,595.10/x
  3. Step 3: Cross multiply
    409,362.50x = 564,898.38 × 225,595.10
  4. Step 4: Simplify right side
    409,362.50x = 127,438,306,525.94
  5. Step 5: Solve for x
    x = 127,438,306,525.94/409,362.50
  6. Step 6: Final answer
    x = 311,309.19

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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.