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Finding the Fourth Proportional to 568,822.16, 784,969.92 and 310,699.28

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Solution

The fourth proportional to 568,822.16, 784,969.92 and 310,699.28 is: 428,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,822.16 : 784,969.92 = 310,699.28 : x
  2. Step 2: Convert to fraction form
    568,822.16/784,969.92 = 310,699.28/x
  3. Step 3: Cross multiply
    568,822.16x = 784,969.92 × 310,699.28
  4. Step 4: Simplify right side
    568,822.16x = 243,889,588,965.66
  5. Step 5: Solve for x
    x = 243,889,588,965.66/568,822.16
  6. Step 6: Final answer
    x = 428,762.46

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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.