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Finding the Fourth Proportional to 457,632, 685,647.36 and 317,479.68

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Solution

The fourth proportional to 457,632, 685,647.36 and 317,479.68 is: 475,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,632 : 685,647.36 = 317,479.68 : x
  2. Step 2: Convert to fraction form
    457,632/685,647.36 = 317,479.68/x
  3. Step 3: Cross multiply
    457,632x = 685,647.36 × 317,479.68
  4. Step 4: Simplify right side
    457,632x = 217,679,104,445.65
  5. Step 5: Solve for x
    x = 217,679,104,445.65/457,632
  6. Step 6: Final answer
    x = 475,664.08

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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.