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Finding the Fourth Proportional to 605,046.52, 907,569.78 and 161,803

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Solution

The fourth proportional to 605,046.52, 907,569.78 and 161,803 is: 242,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,046.52 : 907,569.78 = 161,803 : x
  2. Step 2: Convert to fraction form
    605,046.52/907,569.78 = 161,803/x
  3. Step 3: Cross multiply
    605,046.52x = 907,569.78 × 161,803
  4. Step 4: Simplify right side
    605,046.52x = 146,847,513,113.34
  5. Step 5: Solve for x
    x = 146,847,513,113.34/605,046.52
  6. Step 6: Final answer
    x = 242,704.50

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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.