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Finding the Fourth Proportional to 492,914.98, 680,396.97 and 291,710.50

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Solution

The fourth proportional to 492,914.98, 680,396.97 and 291,710.50 is: 402,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,914.98 : 680,396.97 = 291,710.50 : x
  2. Step 2: Convert to fraction form
    492,914.98/680,396.97 = 291,710.50/x
  3. Step 3: Cross multiply
    492,914.98x = 680,396.97 × 291,710.50
  4. Step 4: Simplify right side
    492,914.98x = 198,478,940,317.19
  5. Step 5: Solve for x
    x = 198,478,940,317.19/492,914.98
  6. Step 6: Final answer
    x = 402,663.64

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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.