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Finding the Fourth Proportional to 287,293.70, 430,924.15 and 109,818.65

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Solution

The fourth proportional to 287,293.70, 430,924.15 and 109,818.65 is: 164,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,293.70 : 430,924.15 = 109,818.65 : x
  2. Step 2: Convert to fraction form
    287,293.70/430,924.15 = 109,818.65/x
  3. Step 3: Cross multiply
    287,293.70x = 430,924.15 × 109,818.65
  4. Step 4: Simplify right side
    287,293.70x = 47,323,509,619.98
  5. Step 5: Solve for x
    x = 47,323,509,619.98/287,293.70
  6. Step 6: Final answer
    x = 164,721.71

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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.