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Finding the Fourth Proportional to 587,628.40, 810,912.72 and 342,657.76

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Solution

The fourth proportional to 587,628.40, 810,912.72 and 342,657.76 is: 472,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,628.40 : 810,912.72 = 342,657.76 : x
  2. Step 2: Convert to fraction form
    587,628.40/810,912.72 = 342,657.76/x
  3. Step 3: Cross multiply
    587,628.40x = 810,912.72 × 342,657.76
  4. Step 4: Simplify right side
    587,628.40x = 277,865,536,190.71
  5. Step 5: Solve for x
    x = 277,865,536,190.71/587,628.40
  6. Step 6: Final answer
    x = 472,859.27

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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.