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Finding the Fourth Proportional to 492,858.16, 680,143.80 and 266,503.12

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Solution

The fourth proportional to 492,858.16, 680,143.80 and 266,503.12 is: 367,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,858.16 : 680,143.80 = 266,503.12 : x
  2. Step 2: Convert to fraction form
    492,858.16/680,143.80 = 266,503.12/x
  3. Step 3: Cross multiply
    492,858.16x = 680,143.80 × 266,503.12
  4. Step 4: Simplify right side
    492,858.16x = 181,260,444,748.66
  5. Step 5: Solve for x
    x = 181,260,444,748.66/492,858.16
  6. Step 6: Final answer
    x = 367,774.06

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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.