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Finding the Fourth Proportional to 492,315.61, 738,407.77 and 137,299.90

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Solution

The fourth proportional to 492,315.61, 738,407.77 and 137,299.90 is: 205,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,315.61 : 738,407.77 = 137,299.90 : x
  2. Step 2: Convert to fraction form
    492,315.61/738,407.77 = 137,299.90/x
  3. Step 3: Cross multiply
    492,315.61x = 738,407.77 × 137,299.90
  4. Step 4: Simplify right side
    492,315.61x = 101,383,312,980.22
  5. Step 5: Solve for x
    x = 101,383,312,980.22/492,315.61
  6. Step 6: Final answer
    x = 205,931.54

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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.