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Finding the Fourth Proportional to 387,546, 581,321.43 and 107,065.68

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Solution

The fourth proportional to 387,546, 581,321.43 and 107,065.68 is: 160,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,546 : 581,321.43 = 107,065.68 : x
  2. Step 2: Convert to fraction form
    387,546/581,321.43 = 107,065.68/x
  3. Step 3: Cross multiply
    387,546x = 581,321.43 × 107,065.68
  4. Step 4: Simplify right side
    387,546x = 62,239,574,201.52
  5. Step 5: Solve for x
    x = 62,239,574,201.52/387,546
  6. Step 6: Final answer
    x = 160,599.19

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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.