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Finding the Fourth Proportional to 213,068.75, 319,298.63 and 156,464.87

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Solution

The fourth proportional to 213,068.75, 319,298.63 and 156,464.87 is: 234,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,068.75 : 319,298.63 = 156,464.87 : x
  2. Step 2: Convert to fraction form
    213,068.75/319,298.63 = 156,464.87/x
  3. Step 3: Cross multiply
    213,068.75x = 319,298.63 × 156,464.87
  4. Step 4: Simplify right side
    213,068.75x = 49,959,016,255.31
  5. Step 5: Solve for x
    x = 49,959,016,255.31/213,068.75
  6. Step 6: Final answer
    x = 234,473.70

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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.