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Finding the Fourth Proportional to 305,970.76, 458,566.71 and 172,925.20

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Solution

The fourth proportional to 305,970.76, 458,566.71 and 172,925.20 is: 259,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,970.76 : 458,566.71 = 172,925.20 : x
  2. Step 2: Convert to fraction form
    305,970.76/458,566.71 = 172,925.20/x
  3. Step 3: Cross multiply
    305,970.76x = 458,566.71 × 172,925.20
  4. Step 4: Simplify right side
    305,970.76x = 79,297,740,040.09
  5. Step 5: Solve for x
    x = 79,297,740,040.09/305,970.76
  6. Step 6: Final answer
    x = 259,167.71

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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.