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Finding the Fourth Proportional to 287,295.70, 430,943.55 and 109,711.30

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Solution

The fourth proportional to 287,295.70, 430,943.55 and 109,711.30 is: 164,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,295.70 : 430,943.55 = 109,711.30 : x
  2. Step 2: Convert to fraction form
    287,295.70/430,943.55 = 109,711.30/x
  3. Step 3: Cross multiply
    287,295.70x = 430,943.55 × 109,711.30
  4. Step 4: Simplify right side
    287,295.70x = 47,279,377,097.12
  5. Step 5: Solve for x
    x = 47,279,377,097.12/287,295.70
  6. Step 6: Final answer
    x = 164,566.95

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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.