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Finding the Fourth Proportional to 521,663.10, 782,494.65 and 360,699.90

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Solution

The fourth proportional to 521,663.10, 782,494.65 and 360,699.90 is: 541,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,663.10 : 782,494.65 = 360,699.90 : x
  2. Step 2: Convert to fraction form
    521,663.10/782,494.65 = 360,699.90/x
  3. Step 3: Cross multiply
    521,663.10x = 782,494.65 × 360,699.90
  4. Step 4: Simplify right side
    521,663.10x = 282,245,742,005.54
  5. Step 5: Solve for x
    x = 282,245,742,005.54/521,663.10
  6. Step 6: Final answer
    x = 541,049.85

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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.