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Finding the Fourth Proportional to 387,349.54, 581,057.78 and 106,866.78

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Solution

The fourth proportional to 387,349.54, 581,057.78 and 106,866.78 is: 160,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,349.54 : 581,057.78 = 106,866.78 : x
  2. Step 2: Convert to fraction form
    387,349.54/581,057.78 = 106,866.78/x
  3. Step 3: Cross multiply
    387,349.54x = 581,057.78 × 106,866.78
  4. Step 4: Simplify right side
    387,349.54x = 62,095,773,942.55
  5. Step 5: Solve for x
    x = 62,095,773,942.55/387,349.54
  6. Step 6: Final answer
    x = 160,309.40

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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.