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Finding the Fourth Proportional to 522,727.12, 783,040.92 and 442,420.48

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Solution

The fourth proportional to 522,727.12, 783,040.92 and 442,420.48 is: 662,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,727.12 : 783,040.92 = 442,420.48 : x
  2. Step 2: Convert to fraction form
    522,727.12/783,040.92 = 442,420.48/x
  3. Step 3: Cross multiply
    522,727.12x = 783,040.92 × 442,420.48
  4. Step 4: Simplify right side
    522,727.12x = 346,433,339,686.04
  5. Step 5: Solve for x
    x = 346,433,339,686.04/522,727.12
  6. Step 6: Final answer
    x = 662,742.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.