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Finding the Fourth Proportional to 568,459.46, 784,485.92 and 310,347.29

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Solution

The fourth proportional to 568,459.46, 784,485.92 and 310,347.29 is: 428,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,459.46 : 784,485.92 = 310,347.29 : x
  2. Step 2: Convert to fraction form
    568,459.46/784,485.92 = 310,347.29/x
  3. Step 3: Cross multiply
    568,459.46x = 784,485.92 × 310,347.29
  4. Step 4: Simplify right side
    568,459.46x = 243,463,079,315.16
  5. Step 5: Solve for x
    x = 243,463,079,315.16/568,459.46
  6. Step 6: Final answer
    x = 428,285.74

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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.