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Finding the Fourth Proportional to 505,455.60, 696,960.04 and 413,287.32

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Solution

The fourth proportional to 505,455.60, 696,960.04 and 413,287.32 is: 569,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,455.60 : 696,960.04 = 413,287.32 : x
  2. Step 2: Convert to fraction form
    505,455.60/696,960.04 = 413,287.32/x
  3. Step 3: Cross multiply
    505,455.60x = 696,960.04 × 413,287.32
  4. Step 4: Simplify right side
    505,455.60x = 288,044,747,078.69
  5. Step 5: Solve for x
    x = 288,044,747,078.69/505,455.60
  6. Step 6: Final answer
    x = 569,871.51

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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.