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Finding the Fourth Proportional to 497,323.80, 686,280.60 and 270,969.30

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Solution

The fourth proportional to 497,323.80, 686,280.60 and 270,969.30 is: 373,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,323.80 : 686,280.60 = 270,969.30 : x
  2. Step 2: Convert to fraction form
    497,323.80/686,280.60 = 270,969.30/x
  3. Step 3: Cross multiply
    497,323.80x = 686,280.60 × 270,969.30
  4. Step 4: Simplify right side
    497,323.80x = 185,960,973,785.58
  5. Step 5: Solve for x
    x = 185,960,973,785.58/497,323.80
  6. Step 6: Final answer
    x = 373,923.33

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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.