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Finding the Fourth Proportional to 286,283.76, 395,079.12 and 158,964.72

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Solution

The fourth proportional to 286,283.76, 395,079.12 and 158,964.72 is: 219,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,283.76 : 395,079.12 = 158,964.72 : x
  2. Step 2: Convert to fraction form
    286,283.76/395,079.12 = 158,964.72/x
  3. Step 3: Cross multiply
    286,283.76x = 395,079.12 × 158,964.72
  4. Step 4: Simplify right side
    286,283.76x = 62,803,641,688.65
  5. Step 5: Solve for x
    x = 62,803,641,688.65/286,283.76
  6. Step 6: Final answer
    x = 219,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.