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Finding the Fourth Proportional to 493,320.70, 680,782.55 and 266,966.20

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Solution

The fourth proportional to 493,320.70, 680,782.55 and 266,966.20 is: 368,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,320.70 : 680,782.55 = 266,966.20 : x
  2. Step 2: Convert to fraction form
    493,320.70/680,782.55 = 266,966.20/x
  3. Step 3: Cross multiply
    493,320.70x = 680,782.55 × 266,966.20
  4. Step 4: Simplify right side
    493,320.70x = 181,745,930,399.81
  5. Step 5: Solve for x
    x = 181,745,930,399.81/493,320.70
  6. Step 6: Final answer
    x = 368,413.35

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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.