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Finding the Fourth Proportional to 522,535.50, 721,107.36 and 293,143.86

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Solution

The fourth proportional to 522,535.50, 721,107.36 and 293,143.86 is: 404,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,535.50 : 721,107.36 = 293,143.86 : x
  2. Step 2: Convert to fraction form
    522,535.50/721,107.36 = 293,143.86/x
  3. Step 3: Cross multiply
    522,535.50x = 721,107.36 × 293,143.86
  4. Step 4: Simplify right side
    522,535.50x = 211,388,194,984.81
  5. Step 5: Solve for x
    x = 211,388,194,984.81/522,535.50
  6. Step 6: Final answer
    x = 404,543.22

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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.