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Finding the Fourth Proportional to 664,564.64, 996,798.48 and 259,680.74

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Solution

The fourth proportional to 664,564.64, 996,798.48 and 259,680.74 is: 389,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,564.64 : 996,798.48 = 259,680.74 : x
  2. Step 2: Convert to fraction form
    664,564.64/996,798.48 = 259,680.74/x
  3. Step 3: Cross multiply
    664,564.64x = 996,798.48 × 259,680.74
  4. Step 4: Simplify right side
    664,564.64x = 258,849,366,917.28
  5. Step 5: Solve for x
    x = 258,849,366,917.28/664,564.64
  6. Step 6: Final answer
    x = 389,502.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.