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Finding the Fourth Proportional to 458,657.33, 687,813.75 and 159,065.66

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Solution

The fourth proportional to 458,657.33, 687,813.75 and 159,065.66 is: 238,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,657.33 : 687,813.75 = 159,065.66 : x
  2. Step 2: Convert to fraction form
    458,657.33/687,813.75 = 159,065.66/x
  3. Step 3: Cross multiply
    458,657.33x = 687,813.75 × 159,065.66
  4. Step 4: Simplify right side
    458,657.33x = 109,407,544,661.76
  5. Step 5: Solve for x
    x = 109,407,544,661.76/458,657.33
  6. Step 6: Final answer
    x = 238,538.75

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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.