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Finding the Fourth Proportional to 305,981.40, 458,813.64 and 137,356.48

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Solution

The fourth proportional to 305,981.40, 458,813.64 and 137,356.48 is: 205,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,981.40 : 458,813.64 = 137,356.48 : x
  2. Step 2: Convert to fraction form
    305,981.40/458,813.64 = 137,356.48/x
  3. Step 3: Cross multiply
    305,981.40x = 458,813.64 × 137,356.48
  4. Step 4: Simplify right side
    305,981.40x = 63,021,026,566.39
  5. Step 5: Solve for x
    x = 63,021,026,566.39/305,981.40
  6. Step 6: Final answer
    x = 205,963.59

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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.