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Finding the Fourth Proportional to 256,275.16, 353,566.02 and 160,747

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Solution

The fourth proportional to 256,275.16, 353,566.02 and 160,747 is: 221,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,275.16 : 353,566.02 = 160,747 : x
  2. Step 2: Convert to fraction form
    256,275.16/353,566.02 = 160,747/x
  3. Step 3: Cross multiply
    256,275.16x = 353,566.02 × 160,747
  4. Step 4: Simplify right side
    256,275.16x = 56,834,677,016.94
  5. Step 5: Solve for x
    x = 56,834,677,016.94/256,275.16
  6. Step 6: Final answer
    x = 221,772.09

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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.