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Finding the Fourth Proportional to 553,559.22, 763,908.30 and 311,919.66

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Solution

The fourth proportional to 553,559.22, 763,908.30 and 311,919.66 is: 430,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,559.22 : 763,908.30 = 311,919.66 : x
  2. Step 2: Convert to fraction form
    553,559.22/763,908.30 = 311,919.66/x
  3. Step 3: Cross multiply
    553,559.22x = 763,908.30 × 311,919.66
  4. Step 4: Simplify right side
    553,559.22x = 238,278,017,207.18
  5. Step 5: Solve for x
    x = 238,278,017,207.18/553,559.22
  6. Step 6: Final answer
    x = 430,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.