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Finding the Fourth Proportional to 568,712.09, 784,822.12 and 314,062.67

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Solution

The fourth proportional to 568,712.09, 784,822.12 and 314,062.67 is: 433,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,712.09 : 784,822.12 = 314,062.67 : x
  2. Step 2: Convert to fraction form
    568,712.09/784,822.12 = 314,062.67/x
  3. Step 3: Cross multiply
    568,712.09x = 784,822.12 × 314,062.67
  4. Step 4: Simplify right side
    568,712.09x = 246,483,331,659.16
  5. Step 5: Solve for x
    x = 246,483,331,659.16/568,712.09
  6. Step 6: Final answer
    x = 433,406.17

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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.