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Finding the Fourth Proportional to 566,117.64, 780,917.86 and 353,781

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Solution

The fourth proportional to 566,117.64, 780,917.86 and 353,781 is: 488,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,117.64 : 780,917.86 = 353,781 : x
  2. Step 2: Convert to fraction form
    566,117.64/780,917.86 = 353,781/x
  3. Step 3: Cross multiply
    566,117.64x = 780,917.86 × 353,781
  4. Step 4: Simplify right side
    566,117.64x = 276,273,901,428.66
  5. Step 5: Solve for x
    x = 276,273,901,428.66/566,117.64
  6. Step 6: Final answer
    x = 488,015.00

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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.