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Finding the Fourth Proportional to 451,934.32, 677,498.64 and 171,648.40

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Solution

The fourth proportional to 451,934.32, 677,498.64 and 171,648.40 is: 257,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,934.32 : 677,498.64 = 171,648.40 : x
  2. Step 2: Convert to fraction form
    451,934.32/677,498.64 = 171,648.40/x
  3. Step 3: Cross multiply
    451,934.32x = 677,498.64 × 171,648.40
  4. Step 4: Simplify right side
    451,934.32x = 116,291,557,558.18
  5. Step 5: Solve for x
    x = 116,291,557,558.18/451,934.32
  6. Step 6: Final answer
    x = 257,319.60

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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.