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Finding the Fourth Proportional to 409,656.65, 565,359.84 and 225,931.16

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Solution

The fourth proportional to 409,656.65, 565,359.84 and 225,931.16 is: 311,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,656.65 : 565,359.84 = 225,931.16 : x
  2. Step 2: Convert to fraction form
    409,656.65/565,359.84 = 225,931.16/x
  3. Step 3: Cross multiply
    409,656.65x = 565,359.84 × 225,931.16
  4. Step 4: Simplify right side
    409,656.65x = 127,732,401,112.53
  5. Step 5: Solve for x
    x = 127,732,401,112.53/409,656.65
  6. Step 6: Final answer
    x = 311,803.56

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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.