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Finding the Fourth Proportional to 522,809.40, 783,177.30 and 311,820.60

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Solution

The fourth proportional to 522,809.40, 783,177.30 and 311,820.60 is: 467,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,809.40 : 783,177.30 = 311,820.60 : x
  2. Step 2: Convert to fraction form
    522,809.40/783,177.30 = 311,820.60/x
  3. Step 3: Cross multiply
    522,809.40x = 783,177.30 × 311,820.60
  4. Step 4: Simplify right side
    522,809.40x = 244,210,815,592.38
  5. Step 5: Solve for x
    x = 244,210,815,592.38/522,809.40
  6. Step 6: Final answer
    x = 467,112.52

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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.