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Finding the Fourth Proportional to 456,693.70, 685,234.95 and 288,343.30

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Solution

The fourth proportional to 456,693.70, 685,234.95 and 288,343.30 is: 432,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,693.70 : 685,234.95 = 288,343.30 : x
  2. Step 2: Convert to fraction form
    456,693.70/685,234.95 = 288,343.30/x
  3. Step 3: Cross multiply
    456,693.70x = 685,234.95 × 288,343.30
  4. Step 4: Simplify right side
    456,693.70x = 197,582,906,758.34
  5. Step 5: Solve for x
    x = 197,582,906,758.34/456,693.70
  6. Step 6: Final answer
    x = 432,637.69

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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.