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Finding the Fourth Proportional to 211,398.81, 316,765.64 and 163,484.72

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Solution

The fourth proportional to 211,398.81, 316,765.64 and 163,484.72 is: 244,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,398.81 : 316,765.64 = 163,484.72 : x
  2. Step 2: Convert to fraction form
    211,398.81/316,765.64 = 163,484.72/x
  3. Step 3: Cross multiply
    211,398.81x = 316,765.64 × 163,484.72
  4. Step 4: Simplify right side
    211,398.81x = 51,786,341,961.02
  5. Step 5: Solve for x
    x = 51,786,341,961.02/211,398.81
  6. Step 6: Final answer
    x = 244,969.88

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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.