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Finding the Fourth Proportional to 393,280.72, 587,253.32 and 312,411

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Solution

The fourth proportional to 393,280.72, 587,253.32 and 312,411 is: 466,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,280.72 : 587,253.32 = 312,411 : x
  2. Step 2: Convert to fraction form
    393,280.72/587,253.32 = 312,411/x
  3. Step 3: Cross multiply
    393,280.72x = 587,253.32 × 312,411
  4. Step 4: Simplify right side
    393,280.72x = 183,464,396,954.52
  5. Step 5: Solve for x
    x = 183,464,396,954.52/393,280.72
  6. Step 6: Final answer
    x = 466,497.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.