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Finding the Fourth Proportional to 387,435.81, 534,671.28 and 213,003.87

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Solution

The fourth proportional to 387,435.81, 534,671.28 and 213,003.87 is: 293,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,435.81 : 534,671.28 = 213,003.87 : x
  2. Step 2: Convert to fraction form
    387,435.81/534,671.28 = 213,003.87/x
  3. Step 3: Cross multiply
    387,435.81x = 534,671.28 × 213,003.87
  4. Step 4: Simplify right side
    387,435.81x = 113,887,051,817.85
  5. Step 5: Solve for x
    x = 113,887,051,817.85/387,435.81
  6. Step 6: Final answer
    x = 293,950.76

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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.