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Finding the Fourth Proportional to 492,655.36, 738,965.76 and 137,666.56

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Solution

The fourth proportional to 492,655.36, 738,965.76 and 137,666.56 is: 206,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,655.36 : 738,965.76 = 137,666.56 : x
  2. Step 2: Convert to fraction form
    492,655.36/738,965.76 = 137,666.56/x
  3. Step 3: Cross multiply
    492,655.36x = 738,965.76 × 137,666.56
  4. Step 4: Simplify right side
    492,655.36x = 101,730,874,136.99
  5. Step 5: Solve for x
    x = 101,730,874,136.99/492,655.36
  6. Step 6: Final answer
    x = 206,495.01

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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.