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Finding the Fourth Proportional to 305,454.62, 458,334.62 and 137,095.32

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Solution

The fourth proportional to 305,454.62, 458,334.62 and 137,095.32 is: 205,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,454.62 : 458,334.62 = 137,095.32 : x
  2. Step 2: Convert to fraction form
    305,454.62/458,334.62 = 137,095.32/x
  3. Step 3: Cross multiply
    305,454.62x = 458,334.62 × 137,095.32
  4. Step 4: Simplify right side
    305,454.62x = 62,835,531,395.98
  5. Step 5: Solve for x
    x = 62,835,531,395.98/305,454.62
  6. Step 6: Final answer
    x = 205,711.51

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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.