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Finding the Fourth Proportional to 412,423.20, 618,829.20 and 307,447.20

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Solution

The fourth proportional to 412,423.20, 618,829.20 and 307,447.20 is: 461,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,423.20 : 618,829.20 = 307,447.20 : x
  2. Step 2: Convert to fraction form
    412,423.20/618,829.20 = 307,447.20/x
  3. Step 3: Cross multiply
    412,423.20x = 618,829.20 × 307,447.20
  4. Step 4: Simplify right side
    412,423.20x = 190,257,304,818.24
  5. Step 5: Solve for x
    x = 190,257,304,818.24/412,423.20
  6. Step 6: Final answer
    x = 461,315.72

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1.5x scale

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.