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Finding the Fourth Proportional to 393,281.72, 587,254.81 and 312,412

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Solution

The fourth proportional to 393,281.72, 587,254.81 and 312,412 is: 466,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,281.72 : 587,254.81 = 312,412 : x
  2. Step 2: Convert to fraction form
    393,281.72/587,254.81 = 312,412/x
  3. Step 3: Cross multiply
    393,281.72x = 587,254.81 × 312,412
  4. Step 4: Simplify right side
    393,281.72x = 183,465,449,701.72
  5. Step 5: Solve for x
    x = 183,465,449,701.72/393,281.72
  6. Step 6: Final answer
    x = 466,498.80

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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.