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Finding the Fourth Proportional to 519,147, 716,422.90 and 280,683

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Solution

The fourth proportional to 519,147, 716,422.90 and 280,683 is: 387,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,147 : 716,422.90 = 280,683 : x
  2. Step 2: Convert to fraction form
    519,147/716,422.90 = 280,683/x
  3. Step 3: Cross multiply
    519,147x = 716,422.90 × 280,683
  4. Step 4: Simplify right side
    519,147x = 201,087,728,840.70
  5. Step 5: Solve for x
    x = 201,087,728,840.70/519,147
  6. Step 6: Final answer
    x = 387,342.56

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1.5x scale

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.