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Finding the Fourth Proportional to 527,884.53, 728,309.39 and 298,419.63

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Solution

The fourth proportional to 527,884.53, 728,309.39 and 298,419.63 is: 411,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,884.53 : 728,309.39 = 298,419.63 : x
  2. Step 2: Convert to fraction form
    527,884.53/728,309.39 = 298,419.63/x
  3. Step 3: Cross multiply
    527,884.53x = 728,309.39 × 298,419.63
  4. Step 4: Simplify right side
    527,884.53x = 217,341,817,197.23
  5. Step 5: Solve for x
    x = 217,341,817,197.23/527,884.53
  6. Step 6: Final answer
    x = 411,722.27

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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.