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Finding the Fourth Proportional to 855,785,256, 1,181,012,847.84 and 479,457,712.68

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Solution

The fourth proportional to 855,785,256, 1,181,012,847.84 and 479,457,712.68 is: 661,667,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,785,256 : 1,181,012,847.84 = 479,457,712.68 : x
  2. Step 2: Convert to fraction form
    855,785,256/1,181,012,847.84 = 479,457,712.68/x
  3. Step 3: Cross multiply
    855,785,256x = 1,181,012,847.84 × 479,457,712.68
  4. Step 4: Simplify right side
    855,785,256x = 566,245,718,671,059,264
  5. Step 5: Solve for x
    x = 566,245,718,671,059,264/855,785,256
  6. Step 6: Final answer
    x = 661,667,999.89

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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.