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Finding the Fourth Proportional to 457,880.78, 686,810.45 and 120,944.95

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Solution

The fourth proportional to 457,880.78, 686,810.45 and 120,944.95 is: 181,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,880.78 : 686,810.45 = 120,944.95 : x
  2. Step 2: Convert to fraction form
    457,880.78/686,810.45 = 120,944.95/x
  3. Step 3: Cross multiply
    457,880.78x = 686,810.45 × 120,944.95
  4. Step 4: Simplify right side
    457,880.78x = 83,066,254,120.06
  5. Step 5: Solve for x
    x = 83,066,254,120.06/457,880.78
  6. Step 6: Final answer
    x = 181,414.59

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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.