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Finding the Fourth Proportional to 491,153.76, 677,889 and 319,284.72

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Solution

The fourth proportional to 491,153.76, 677,889 and 319,284.72 is: 440,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,153.76 : 677,889 = 319,284.72 : x
  2. Step 2: Convert to fraction form
    491,153.76/677,889 = 319,284.72/x
  3. Step 3: Cross multiply
    491,153.76x = 677,889 × 319,284.72
  4. Step 4: Simplify right side
    491,153.76x = 216,439,599,556.08
  5. Step 5: Solve for x
    x = 216,439,599,556.08/491,153.76
  6. Step 6: Final answer
    x = 440,675.85

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1.5x scale

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.