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Finding the Fourth Proportional to 587,787.28, 810,395.56 and 380,689.84

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Solution

The fourth proportional to 587,787.28, 810,395.56 and 380,689.84 is: 524,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,787.28 : 810,395.56 = 380,689.84 : x
  2. Step 2: Convert to fraction form
    587,787.28/810,395.56 = 380,689.84/x
  3. Step 3: Cross multiply
    587,787.28x = 810,395.56 × 380,689.84
  4. Step 4: Simplify right side
    587,787.28x = 308,509,356,073.11
  5. Step 5: Solve for x
    x = 308,509,356,073.11/587,787.28
  6. Step 6: Final answer
    x = 524,865.66

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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.