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Finding the Fourth Proportional to 310,219.20, 465,415.20 and 152,452.80

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Solution

The fourth proportional to 310,219.20, 465,415.20 and 152,452.80 is: 228,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,219.20 : 465,415.20 = 152,452.80 : x
  2. Step 2: Convert to fraction form
    310,219.20/465,415.20 = 152,452.80/x
  3. Step 3: Cross multiply
    310,219.20x = 465,415.20 × 152,452.80
  4. Step 4: Simplify right side
    310,219.20x = 70,953,850,402.56
  5. Step 5: Solve for x
    x = 70,953,850,402.56/310,219.20
  6. Step 6: Final answer
    x = 228,721.66

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1.5x scale

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.