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Finding the Fourth Proportional to 458,255.59, 687,443.74 and 170,028

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Solution

The fourth proportional to 458,255.59, 687,443.74 and 170,028 is: 255,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,255.59 : 687,443.74 = 170,028 : x
  2. Step 2: Convert to fraction form
    458,255.59/687,443.74 = 170,028/x
  3. Step 3: Cross multiply
    458,255.59x = 687,443.74 × 170,028
  4. Step 4: Simplify right side
    458,255.59x = 116,884,683,799.65
  5. Step 5: Solve for x
    x = 116,884,683,799.65/458,255.59
  6. Step 6: Final answer
    x = 255,064.39

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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.