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Finding the Fourth Proportional to 565,881.48, 780,912.36 and 311,227.20

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Solution

The fourth proportional to 565,881.48, 780,912.36 and 311,227.20 is: 429,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,881.48 : 780,912.36 = 311,227.20 : x
  2. Step 2: Convert to fraction form
    565,881.48/780,912.36 = 311,227.20/x
  3. Step 3: Cross multiply
    565,881.48x = 780,912.36 × 311,227.20
  4. Step 4: Simplify right side
    565,881.48x = 243,041,167,248.19
  5. Step 5: Solve for x
    x = 243,041,167,248.19/565,881.48
  6. Step 6: Final answer
    x = 429,491.29

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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.