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Finding the Fourth Proportional to 587,639.40, 810,930.78 and 342,669.84

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Solution

The fourth proportional to 587,639.40, 810,930.78 and 342,669.84 is: 472,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,639.40 : 810,930.78 = 342,669.84 : x
  2. Step 2: Convert to fraction form
    587,639.40/810,930.78 = 342,669.84/x
  3. Step 3: Cross multiply
    587,639.40x = 810,930.78 × 342,669.84
  4. Step 4: Simplify right side
    587,639.40x = 277,881,520,633.68
  5. Step 5: Solve for x
    x = 277,881,520,633.68/587,639.40
  6. Step 6: Final answer
    x = 472,877.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.