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Finding the Fourth Proportional to 565,802.16, 780,791.41 and 311,153.35

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Solution

The fourth proportional to 565,802.16, 780,791.41 and 311,153.35 is: 429,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,802.16 : 780,791.41 = 311,153.35 : x
  2. Step 2: Convert to fraction form
    565,802.16/780,791.41 = 311,153.35/x
  3. Step 3: Cross multiply
    565,802.16x = 780,791.41 × 311,153.35
  4. Step 4: Simplify right side
    565,802.16x = 242,945,862,872.72
  5. Step 5: Solve for x
    x = 242,945,862,872.72/565,802.16
  6. Step 6: Final answer
    x = 429,383.06

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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.