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Finding the Fourth Proportional to 493,320.16, 680,783.96 and 266,965.68

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Solution

The fourth proportional to 493,320.16, 680,783.96 and 266,965.68 is: 368,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,320.16 : 680,783.96 = 266,965.68 : x
  2. Step 2: Convert to fraction form
    493,320.16/680,783.96 = 266,965.68/x
  3. Step 3: Cross multiply
    493,320.16x = 680,783.96 × 266,965.68
  4. Step 4: Simplify right side
    493,320.16x = 181,745,952,814.49
  5. Step 5: Solve for x
    x = 181,745,952,814.49/493,320.16
  6. Step 6: Final answer
    x = 368,413.80

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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.