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Finding the Fourth Proportional to 493,293, 680,744.94 and 266,938.50

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Solution

The fourth proportional to 493,293, 680,744.94 and 266,938.50 is: 368,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,293 : 680,744.94 = 266,938.50 : x
  2. Step 2: Convert to fraction form
    493,293/680,744.94 = 266,938.50/x
  3. Step 3: Cross multiply
    493,293x = 680,744.94 × 266,938.50
  4. Step 4: Simplify right side
    493,293x = 181,717,033,166.19
  5. Step 5: Solve for x
    x = 181,717,033,166.19/493,293
  6. Step 6: Final answer
    x = 368,375.45

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1.5x scale

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.