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Finding the Fourth Proportional to 381,780.02, 572,617.71 and 211,317.03

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Solution

The fourth proportional to 381,780.02, 572,617.71 and 211,317.03 is: 316,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,780.02 : 572,617.71 = 211,317.03 : x
  2. Step 2: Convert to fraction form
    381,780.02/572,617.71 = 211,317.03/x
  3. Step 3: Cross multiply
    381,780.02x = 572,617.71 × 211,317.03
  4. Step 4: Simplify right side
    381,780.02x = 121,003,873,802.60
  5. Step 5: Solve for x
    x = 121,003,873,802.60/381,780.02
  6. Step 6: Final answer
    x = 316,946.59

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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.