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Finding the Fourth Proportional to 486,148.80, 729,223.20 and 314,906.70

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Solution

The fourth proportional to 486,148.80, 729,223.20 and 314,906.70 is: 472,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,148.80 : 729,223.20 = 314,906.70 : x
  2. Step 2: Convert to fraction form
    486,148.80/729,223.20 = 314,906.70/x
  3. Step 3: Cross multiply
    486,148.80x = 729,223.20 × 314,906.70
  4. Step 4: Simplify right side
    486,148.80x = 229,637,271,475.44
  5. Step 5: Solve for x
    x = 229,637,271,475.44/486,148.80
  6. Step 6: Final answer
    x = 472,360.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.