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Finding the Fourth Proportional to 386,657.85, 579,848.32 and 133,870.42

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Solution

The fourth proportional to 386,657.85, 579,848.32 and 133,870.42 is: 200,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,657.85 : 579,848.32 = 133,870.42 : x
  2. Step 2: Convert to fraction form
    386,657.85/579,848.32 = 133,870.42/x
  3. Step 3: Cross multiply
    386,657.85x = 579,848.32 × 133,870.42
  4. Step 4: Simplify right side
    386,657.85x = 77,624,539,026.84
  5. Step 5: Solve for x
    x = 77,624,539,026.84/386,657.85
  6. Step 6: Final answer
    x = 200,757.69

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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.