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Finding the Fourth Proportional to 409,033.65, 564,743.52 and 256,133.19

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Solution

The fourth proportional to 409,033.65, 564,743.52 and 256,133.19 is: 353,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,033.65 : 564,743.52 = 256,133.19 : x
  2. Step 2: Convert to fraction form
    409,033.65/564,743.52 = 256,133.19/x
  3. Step 3: Cross multiply
    409,033.65x = 564,743.52 × 256,133.19
  4. Step 4: Simplify right side
    409,033.65x = 144,649,559,309.43
  5. Step 5: Solve for x
    x = 144,649,559,309.43/409,033.65
  6. Step 6: Final answer
    x = 353,637.31

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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.