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Finding the Fourth Proportional to 536,939.40, 805,405.86 and 137,580.24

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Solution

The fourth proportional to 536,939.40, 805,405.86 and 137,580.24 is: 206,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,939.40 : 805,405.86 = 137,580.24 : x
  2. Step 2: Convert to fraction form
    536,939.40/805,405.86 = 137,580.24/x
  3. Step 3: Cross multiply
    536,939.40x = 805,405.86 × 137,580.24
  4. Step 4: Simplify right side
    536,939.40x = 110,807,931,516.21
  5. Step 5: Solve for x
    x = 110,807,931,516.21/536,939.40
  6. Step 6: Final answer
    x = 206,369.53

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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.