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Finding the Fourth Proportional to 519,254, 716,570.56 and 280,790

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Solution

The fourth proportional to 519,254, 716,570.56 and 280,790 is: 387,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,254 : 716,570.56 = 280,790 : x
  2. Step 2: Convert to fraction form
    519,254/716,570.56 = 280,790/x
  3. Step 3: Cross multiply
    519,254x = 716,570.56 × 280,790
  4. Step 4: Simplify right side
    519,254x = 201,205,847,542.40
  5. Step 5: Solve for x
    x = 201,205,847,542.40/519,254
  6. Step 6: Final answer
    x = 387,490.22

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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.