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Finding the Fourth Proportional to 659,855.16, 989,774.10 and 161,223.48

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Solution

The fourth proportional to 659,855.16, 989,774.10 and 161,223.48 is: 241,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,855.16 : 989,774.10 = 161,223.48 : x
  2. Step 2: Convert to fraction form
    659,855.16/989,774.10 = 161,223.48/x
  3. Step 3: Cross multiply
    659,855.16x = 989,774.10 × 161,223.48
  4. Step 4: Simplify right side
    659,855.16x = 159,574,824,815.87
  5. Step 5: Solve for x
    x = 159,574,824,815.87/659,855.16
  6. Step 6: Final answer
    x = 241,833.11

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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.