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Finding the Fourth Proportional to 296,283.80, 408,870.81 and 160,320.05

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Solution

The fourth proportional to 296,283.80, 408,870.81 and 160,320.05 is: 221,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,283.80 : 408,870.81 = 160,320.05 : x
  2. Step 2: Convert to fraction form
    296,283.80/408,870.81 = 160,320.05/x
  3. Step 3: Cross multiply
    296,283.80x = 408,870.81 × 160,320.05
  4. Step 4: Simplify right side
    296,283.80x = 65,550,186,658.39
  5. Step 5: Solve for x
    x = 65,550,186,658.39/296,283.80
  6. Step 6: Final answer
    x = 221,241.21

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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.