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Finding the Fourth Proportional to 305,983.47, 458,647.07 and 147,994.59

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Solution

The fourth proportional to 305,983.47, 458,647.07 and 147,994.59 is: 221,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,983.47 : 458,647.07 = 147,994.59 : x
  2. Step 2: Convert to fraction form
    305,983.47/458,647.07 = 147,994.59/x
  3. Step 3: Cross multiply
    305,983.47x = 458,647.07 × 147,994.59
  4. Step 4: Simplify right side
    305,983.47x = 67,877,284,339.38
  5. Step 5: Solve for x
    x = 67,877,284,339.38/305,983.47
  6. Step 6: Final answer
    x = 221,833.17

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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.