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Finding the Fourth Proportional to 492,782.60, 680,038.50 and 266,428.10

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Solution

The fourth proportional to 492,782.60, 680,038.50 and 266,428.10 is: 367,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,782.60 : 680,038.50 = 266,428.10 : x
  2. Step 2: Convert to fraction form
    492,782.60/680,038.50 = 266,428.10/x
  3. Step 3: Cross multiply
    492,782.60x = 680,038.50 × 266,428.10
  4. Step 4: Simplify right side
    492,782.60x = 181,181,365,481.85
  5. Step 5: Solve for x
    x = 181,181,365,481.85/492,782.60
  6. Step 6: Final answer
    x = 367,669.97

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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.