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Finding the Fourth Proportional to 522,886.02, 721,418.16 and 293,409.57

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Solution

The fourth proportional to 522,886.02, 721,418.16 and 293,409.57 is: 404,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,886.02 : 721,418.16 = 293,409.57 : x
  2. Step 2: Convert to fraction form
    522,886.02/721,418.16 = 293,409.57/x
  3. Step 3: Cross multiply
    522,886.02x = 721,418.16 × 293,409.57
  4. Step 4: Simplify right side
    522,886.02x = 211,670,992,115.79
  5. Step 5: Solve for x
    x = 211,670,992,115.79/522,886.02
  6. Step 6: Final answer
    x = 404,812.87

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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.