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Finding the Fourth Proportional to 566,634, 781,939.44 and 311,986.56

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Solution

The fourth proportional to 566,634, 781,939.44 and 311,986.56 is: 430,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,634 : 781,939.44 = 311,986.56 : x
  2. Step 2: Convert to fraction form
    566,634/781,939.44 = 311,986.56/x
  3. Step 3: Cross multiply
    566,634x = 781,939.44 × 311,986.56
  4. Step 4: Simplify right side
    566,634x = 243,954,596,013.93
  5. Step 5: Solve for x
    x = 243,954,596,013.93/566,634
  6. Step 6: Final answer
    x = 430,532.93

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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.