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Finding the Fourth Proportional to 387,817.56, 581,411.96 and 174,429.24

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Solution

The fourth proportional to 387,817.56, 581,411.96 and 174,429.24 is: 261,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,817.56 : 581,411.96 = 174,429.24 : x
  2. Step 2: Convert to fraction form
    387,817.56/581,411.96 = 174,429.24/x
  3. Step 3: Cross multiply
    387,817.56x = 581,411.96 × 174,429.24
  4. Step 4: Simplify right side
    387,817.56x = 101,415,246,309.71
  5. Step 5: Solve for x
    x = 101,415,246,309.71/387,817.56
  6. Step 6: Final answer
    x = 261,502.46

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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.