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Finding the Fourth Proportional to 305,569.74, 458,353.98 and 172,389.54

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Solution

The fourth proportional to 305,569.74, 458,353.98 and 172,389.54 is: 258,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,569.74 : 458,353.98 = 172,389.54 : x
  2. Step 2: Convert to fraction form
    305,569.74/458,353.98 = 172,389.54/x
  3. Step 3: Cross multiply
    305,569.74x = 458,353.98 × 172,389.54
  4. Step 4: Simplify right side
    305,569.74x = 79,015,431,769.37
  5. Step 5: Solve for x
    x = 79,015,431,769.37/305,569.74
  6. Step 6: Final answer
    x = 258,583.95

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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.