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Finding the Fourth Proportional to 305,750.16, 421,916.40 and 169,775.82

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Solution

The fourth proportional to 305,750.16, 421,916.40 and 169,775.82 is: 234,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,750.16 : 421,916.40 = 169,775.82 : x
  2. Step 2: Convert to fraction form
    305,750.16/421,916.40 = 169,775.82/x
  3. Step 3: Cross multiply
    305,750.16x = 421,916.40 × 169,775.82
  4. Step 4: Simplify right side
    305,750.16x = 71,631,202,781.45
  5. Step 5: Solve for x
    x = 71,631,202,781.45/305,750.16
  6. Step 6: Final answer
    x = 234,280.18

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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.