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Finding the Fourth Proportional to 211,503.20, 316,631.48 and 185,259.20

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Solution

The fourth proportional to 211,503.20, 316,631.48 and 185,259.20 is: 277,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,503.20 : 316,631.48 = 185,259.20 : x
  2. Step 2: Convert to fraction form
    211,503.20/316,631.48 = 185,259.20/x
  3. Step 3: Cross multiply
    211,503.20x = 316,631.48 × 185,259.20
  4. Step 4: Simplify right side
    211,503.20x = 58,658,894,679.62
  5. Step 5: Solve for x
    x = 58,658,894,679.62/211,503.20
  6. Step 6: Final answer
    x = 277,342.82

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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.