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Finding the Fourth Proportional to 301,920.62, 416,641.46 and 172,854.81

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Solution

The fourth proportional to 301,920.62, 416,641.46 and 172,854.81 is: 238,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,920.62 : 416,641.46 = 172,854.81 : x
  2. Step 2: Convert to fraction form
    301,920.62/416,641.46 = 172,854.81/x
  3. Step 3: Cross multiply
    301,920.62x = 416,641.46 × 172,854.81
  4. Step 4: Simplify right side
    301,920.62x = 72,018,479,542.15
  5. Step 5: Solve for x
    x = 72,018,479,542.15/301,920.62
  6. Step 6: Final answer
    x = 238,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.