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Finding the Fourth Proportional to 380,899.86, 571,267.77 and 156,039.81

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Solution

The fourth proportional to 380,899.86, 571,267.77 and 156,039.81 is: 234,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,899.86 : 571,267.77 = 156,039.81 : x
  2. Step 2: Convert to fraction form
    380,899.86/571,267.77 = 156,039.81/x
  3. Step 3: Cross multiply
    380,899.86x = 571,267.77 × 156,039.81
  4. Step 4: Simplify right side
    380,899.86x = 89,140,514,289.92
  5. Step 5: Solve for x
    x = 89,140,514,289.92/380,899.86
  6. Step 6: Final answer
    x = 234,026.11

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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.