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Finding the Fourth Proportional to 500,886.92, 691,006.74 and 331,357.16

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Solution

The fourth proportional to 500,886.92, 691,006.74 and 331,357.16 is: 457,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,886.92 : 691,006.74 = 331,357.16 : x
  2. Step 2: Convert to fraction form
    500,886.92/691,006.74 = 331,357.16/x
  3. Step 3: Cross multiply
    500,886.92x = 691,006.74 × 331,357.16
  4. Step 4: Simplify right side
    500,886.92x = 228,970,030,907.26
  5. Step 5: Solve for x
    x = 228,970,030,907.26/500,886.92
  6. Step 6: Final answer
    x = 457,129.19

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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.