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Finding the Fourth Proportional to 310,917.90, 465,793.65 and 289,922.70

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Solution

The fourth proportional to 310,917.90, 465,793.65 and 289,922.70 is: 434,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,917.90 : 465,793.65 = 289,922.70 : x
  2. Step 2: Convert to fraction form
    310,917.90/465,793.65 = 289,922.70/x
  3. Step 3: Cross multiply
    310,917.90x = 465,793.65 × 289,922.70
  4. Step 4: Simplify right side
    310,917.90x = 135,044,152,650.86
  5. Step 5: Solve for x
    x = 135,044,152,650.86/310,917.90
  6. Step 6: Final answer
    x = 434,340.23

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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.