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Finding the Fourth Proportional to 289,880.91, 434,851.13 and 100,340.98

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Solution

The fourth proportional to 289,880.91, 434,851.13 and 100,340.98 is: 150,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,880.91 : 434,851.13 = 100,340.98 : x
  2. Step 2: Convert to fraction form
    289,880.91/434,851.13 = 100,340.98/x
  3. Step 3: Cross multiply
    289,880.91x = 434,851.13 × 100,340.98
  4. Step 4: Simplify right side
    289,880.91x = 43,633,387,702.03
  5. Step 5: Solve for x
    x = 43,633,387,702.03/289,880.91
  6. Step 6: Final answer
    x = 150,521.77

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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.