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Finding the Fourth Proportional to 289,009.80, 433,436.94 and 101,997

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Solution

The fourth proportional to 289,009.80, 433,436.94 and 101,997 is: 152,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.80 : 433,436.94 = 101,997 : x
  2. Step 2: Convert to fraction form
    289,009.80/433,436.94 = 101,997/x
  3. Step 3: Cross multiply
    289,009.80x = 433,436.94 × 101,997
  4. Step 4: Simplify right side
    289,009.80x = 44,209,267,569.18
  5. Step 5: Solve for x
    x = 44,209,267,569.18/289,009.80
  6. Step 6: Final answer
    x = 152,968.06

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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.