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Finding the Fourth Proportional to 289,107.93, 433,703.20 and 89,445.36

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Solution

The fourth proportional to 289,107.93, 433,703.20 and 89,445.36 is: 134,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,107.93 : 433,703.20 = 89,445.36 : x
  2. Step 2: Convert to fraction form
    289,107.93/433,703.20 = 89,445.36/x
  3. Step 3: Cross multiply
    289,107.93x = 433,703.20 × 89,445.36
  4. Step 4: Simplify right side
    289,107.93x = 38,792,738,857.15
  5. Step 5: Solve for x
    x = 38,792,738,857.15/289,107.93
  6. Step 6: Final answer
    x = 134,180.82

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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.