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Finding the Fourth Proportional to 493,321.16, 680,785.32 and 266,966.66

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Solution

The fourth proportional to 493,321.16, 680,785.32 and 266,966.66 is: 368,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,321.16 : 680,785.32 = 266,966.66 : x
  2. Step 2: Convert to fraction form
    493,321.16/680,785.32 = 266,966.66/x
  3. Step 3: Cross multiply
    493,321.16x = 680,785.32 × 266,966.66
  4. Step 4: Simplify right side
    493,321.16x = 181,746,983,057.43
  5. Step 5: Solve for x
    x = 181,746,983,057.43/493,321.16
  6. Step 6: Final answer
    x = 368,415.14

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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.