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Finding the Fourth Proportional to 412,447, 618,767.16 and 128,122.96

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Solution

The fourth proportional to 412,447, 618,767.16 and 128,122.96 is: 192,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,447 : 618,767.16 = 128,122.96 : x
  2. Step 2: Convert to fraction form
    412,447/618,767.16 = 128,122.96/x
  3. Step 3: Cross multiply
    412,447x = 618,767.16 × 128,122.96
  4. Step 4: Simplify right side
    412,447x = 79,278,280,089.99
  5. Step 5: Solve for x
    x = 79,278,280,089.99/412,447
  6. Step 6: Final answer
    x = 192,214.47

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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.