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Finding the Fourth Proportional to 409,656.69, 565,359.89 and 225,931.19

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Solution

The fourth proportional to 409,656.69, 565,359.89 and 225,931.19 is: 311,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,656.69 : 565,359.89 = 225,931.19 : x
  2. Step 2: Convert to fraction form
    409,656.69/565,359.89 = 225,931.19/x
  3. Step 3: Cross multiply
    409,656.69x = 565,359.89 × 225,931.19
  4. Step 4: Simplify right side
    409,656.69x = 127,732,433,009.71
  5. Step 5: Solve for x
    x = 127,732,433,009.71/409,656.69
  6. Step 6: Final answer
    x = 311,803.61

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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.