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Finding the Fourth Proportional to 527,506.80, 727,958.36 and 285,795.40

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Solution

The fourth proportional to 527,506.80, 727,958.36 and 285,795.40 is: 394,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,506.80 : 727,958.36 = 285,795.40 : x
  2. Step 2: Convert to fraction form
    527,506.80/727,958.36 = 285,795.40/x
  3. Step 3: Cross multiply
    527,506.80x = 727,958.36 × 285,795.40
  4. Step 4: Simplify right side
    527,506.80x = 208,047,150,679.54
  5. Step 5: Solve for x
    x = 208,047,150,679.54/527,506.80
  6. Step 6: Final answer
    x = 394,397.10

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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.