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Finding the Fourth Proportional to 296,753.28, 409,515.12 and 160,783.44

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Solution

The fourth proportional to 296,753.28, 409,515.12 and 160,783.44 is: 221,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.28 : 409,515.12 = 160,783.44 : x
  2. Step 2: Convert to fraction form
    296,753.28/409,515.12 = 160,783.44/x
  3. Step 3: Cross multiply
    296,753.28x = 409,515.12 × 160,783.44
  4. Step 4: Simplify right side
    296,753.28x = 65,843,249,725.61
  5. Step 5: Solve for x
    x = 65,843,249,725.61/296,753.28
  6. Step 6: Final answer
    x = 221,878.76

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1.5x scale

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.