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Finding the Fourth Proportional to 648,048.30, 970,371.45 and 457,479.60

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Solution

The fourth proportional to 648,048.30, 970,371.45 and 457,479.60 is: 685,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,048.30 : 970,371.45 = 457,479.60 : x
  2. Step 2: Convert to fraction form
    648,048.30/970,371.45 = 457,479.60/x
  3. Step 3: Cross multiply
    648,048.30x = 970,371.45 × 457,479.60
  4. Step 4: Simplify right side
    648,048.30x = 443,925,142,797.42
  5. Step 5: Solve for x
    x = 443,925,142,797.42/648,048.30
  6. Step 6: Final answer
    x = 685,018.61

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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.