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Finding the Fourth Proportional to 566,313.64, 781,187.78 and 353,977

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Solution

The fourth proportional to 566,313.64, 781,187.78 and 353,977 is: 488,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,313.64 : 781,187.78 = 353,977 : x
  2. Step 2: Convert to fraction form
    566,313.64/781,187.78 = 353,977/x
  3. Step 3: Cross multiply
    566,313.64x = 781,187.78 × 353,977
  4. Step 4: Simplify right side
    566,313.64x = 276,522,506,801.06
  5. Step 5: Solve for x
    x = 276,522,506,801.06/566,313.64
  6. Step 6: Final answer
    x = 488,285.09

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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.