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Finding the Fourth Proportional to 256,274.16, 353,564.64 and 160,746

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Solution

The fourth proportional to 256,274.16, 353,564.64 and 160,746 is: 221,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,274.16 : 353,564.64 = 160,746 : x
  2. Step 2: Convert to fraction form
    256,274.16/353,564.64 = 160,746/x
  3. Step 3: Cross multiply
    256,274.16x = 353,564.64 × 160,746
  4. Step 4: Simplify right side
    256,274.16x = 56,834,101,621.44
  5. Step 5: Solve for x
    x = 56,834,101,621.44/256,274.16
  6. Step 6: Final answer
    x = 221,770.71

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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.