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Finding the Fourth Proportional to 211,978.62, 317,275.65 and 155,803.86

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Solution

The fourth proportional to 211,978.62, 317,275.65 and 155,803.86 is: 233,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.62 : 317,275.65 = 155,803.86 : x
  2. Step 2: Convert to fraction form
    211,978.62/317,275.65 = 155,803.86/x
  3. Step 3: Cross multiply
    211,978.62x = 317,275.65 × 155,803.86
  4. Step 4: Simplify right side
    211,978.62x = 49,432,770,954.01
  5. Step 5: Solve for x
    x = 49,432,770,954.01/211,978.62
  6. Step 6: Final answer
    x = 233,196.97

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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.