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Finding the Fourth Proportional to 331,405.50, 497,098.26 and 91,534.02

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Solution

The fourth proportional to 331,405.50, 497,098.26 and 91,534.02 is: 137,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,405.50 : 497,098.26 = 91,534.02 : x
  2. Step 2: Convert to fraction form
    331,405.50/497,098.26 = 91,534.02/x
  3. Step 3: Cross multiply
    331,405.50x = 497,098.26 × 91,534.02
  4. Step 4: Simplify right side
    331,405.50x = 45,501,402,072.81
  5. Step 5: Solve for x
    x = 45,501,402,072.81/331,405.50
  6. Step 6: Final answer
    x = 137,298.27

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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.