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Finding the Fourth Proportional to 522,801.40, 783,165.30 and 311,812.60

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Solution

The fourth proportional to 522,801.40, 783,165.30 and 311,812.60 is: 467,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,801.40 : 783,165.30 = 311,812.60 : x
  2. Step 2: Convert to fraction form
    522,801.40/783,165.30 = 311,812.60/x
  3. Step 3: Cross multiply
    522,801.40x = 783,165.30 × 311,812.60
  4. Step 4: Simplify right side
    522,801.40x = 244,200,808,422.78
  5. Step 5: Solve for x
    x = 244,200,808,422.78/522,801.40
  6. Step 6: Final answer
    x = 467,100.53

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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.