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Finding the Fourth Proportional to 568,666.56, 784,750.40 and 314,011.20

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Solution

The fourth proportional to 568,666.56, 784,750.40 and 314,011.20 is: 433,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,666.56 : 784,750.40 = 314,011.20 : x
  2. Step 2: Convert to fraction form
    568,666.56/784,750.40 = 314,011.20/x
  3. Step 3: Cross multiply
    568,666.56x = 784,750.40 × 314,011.20
  4. Step 4: Simplify right side
    568,666.56x = 246,420,414,804.48
  5. Step 5: Solve for x
    x = 246,420,414,804.48/568,666.56
  6. Step 6: Final answer
    x = 433,330.24

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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.