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Finding the Fourth Proportional to 387,338.90, 581,041.84 and 106,856.15

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Solution

The fourth proportional to 387,338.90, 581,041.84 and 106,856.15 is: 160,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,338.90 : 581,041.84 = 106,856.15 : x
  2. Step 2: Convert to fraction form
    387,338.90/581,041.84 = 106,856.15/x
  3. Step 3: Cross multiply
    387,338.90x = 581,041.84 × 106,856.15
  4. Step 4: Simplify right side
    387,338.90x = 62,087,892,884.30
  5. Step 5: Solve for x
    x = 62,087,892,884.30/387,338.90
  6. Step 6: Final answer
    x = 160,293.46

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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.