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Finding the Fourth Proportional to 522,769.40, 783,117.30 and 311,780.60

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Solution

The fourth proportional to 522,769.40, 783,117.30 and 311,780.60 is: 467,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,769.40 : 783,117.30 = 311,780.60 : x
  2. Step 2: Convert to fraction form
    522,769.40/783,117.30 = 311,780.60/x
  3. Step 3: Cross multiply
    522,769.40x = 783,117.30 × 311,780.60
  4. Step 4: Simplify right side
    522,769.40x = 244,160,781,664.38
  5. Step 5: Solve for x
    x = 244,160,781,664.38/522,769.40
  6. Step 6: Final answer
    x = 467,052.55

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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.