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Finding the Fourth Proportional to 278,666.64, 417,999.96 and 112,338

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Solution

The fourth proportional to 278,666.64, 417,999.96 and 112,338 is: 168,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,666.64 : 417,999.96 = 112,338 : x
  2. Step 2: Convert to fraction form
    278,666.64/417,999.96 = 112,338/x
  3. Step 3: Cross multiply
    278,666.64x = 417,999.96 × 112,338
  4. Step 4: Simplify right side
    278,666.64x = 46,957,279,506.48
  5. Step 5: Solve for x
    x = 46,957,279,506.48/278,666.64
  6. Step 6: Final answer
    x = 168,507

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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.