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Finding the Fourth Proportional to 565,463.04, 780,321.60 and 310,813.44

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Solution

The fourth proportional to 565,463.04, 780,321.60 and 310,813.44 is: 428,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,463.04 : 780,321.60 = 310,813.44 : x
  2. Step 2: Convert to fraction form
    565,463.04/780,321.60 = 310,813.44/x
  3. Step 3: Cross multiply
    565,463.04x = 780,321.60 × 310,813.44
  4. Step 4: Simplify right side
    565,463.04x = 242,534,440,802.30
  5. Step 5: Solve for x
    x = 242,534,440,802.30/565,463.04
  6. Step 6: Final answer
    x = 428,912.99

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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.