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Finding the Fourth Proportional to 565,491.24, 780,388.56 and 310,842.36

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Solution

The fourth proportional to 565,491.24, 780,388.56 and 310,842.36 is: 428,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,491.24 : 780,388.56 = 310,842.36 : x
  2. Step 2: Convert to fraction form
    565,491.24/780,388.56 = 310,842.36/x
  3. Step 3: Cross multiply
    565,491.24x = 780,388.56 × 310,842.36
  4. Step 4: Simplify right side
    565,491.24x = 242,577,821,707.40
  5. Step 5: Solve for x
    x = 242,577,821,707.40/565,491.24
  6. Step 6: Final answer
    x = 428,968.31

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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.