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Finding the Fourth Proportional to 296,320.56, 408,921.64 and 160,354

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Solution

The fourth proportional to 296,320.56, 408,921.64 and 160,354 is: 221,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,320.56 : 408,921.64 = 160,354 : x
  2. Step 2: Convert to fraction form
    296,320.56/408,921.64 = 160,354/x
  3. Step 3: Cross multiply
    296,320.56x = 408,921.64 × 160,354
  4. Step 4: Simplify right side
    296,320.56x = 65,572,220,660.56
  5. Step 5: Solve for x
    x = 65,572,220,660.56/296,320.56
  6. Step 6: Final answer
    x = 221,288.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.