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Finding the Fourth Proportional to 456,532.20, 685,359.90 and 288,052.20

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Solution

The fourth proportional to 456,532.20, 685,359.90 and 288,052.20 is: 432,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,532.20 : 685,359.90 = 288,052.20 : x
  2. Step 2: Convert to fraction form
    456,532.20/685,359.90 = 288,052.20/x
  3. Step 3: Cross multiply
    456,532.20x = 685,359.90 × 288,052.20
  4. Step 4: Simplify right side
    456,532.20x = 197,419,426,986.78
  5. Step 5: Solve for x
    x = 197,419,426,986.78/456,532.20
  6. Step 6: Final answer
    x = 432,432.65

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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.