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Finding the Fourth Proportional to 412,374.84, 618,582.71 and 128,258.90

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Solution

The fourth proportional to 412,374.84, 618,582.71 and 128,258.90 is: 192,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,374.84 : 618,582.71 = 128,258.90 : x
  2. Step 2: Convert to fraction form
    412,374.84/618,582.71 = 128,258.90/x
  3. Step 3: Cross multiply
    412,374.84x = 618,582.71 × 128,258.90
  4. Step 4: Simplify right side
    412,374.84x = 79,338,737,943.62
  5. Step 5: Solve for x
    x = 79,338,737,943.62/412,374.84
  6. Step 6: Final answer
    x = 192,394.71

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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.