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Finding the Fourth Proportional to 304,041.64, 419,695.86 and 272,155.40

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Solution

The fourth proportional to 304,041.64, 419,695.86 and 272,155.40 is: 375,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,041.64 : 419,695.86 = 272,155.40 : x
  2. Step 2: Convert to fraction form
    304,041.64/419,695.86 = 272,155.40/x
  3. Step 3: Cross multiply
    304,041.64x = 419,695.86 × 272,155.40
  4. Step 4: Simplify right side
    304,041.64x = 114,222,494,656.64
  5. Step 5: Solve for x
    x = 114,222,494,656.64/304,041.64
  6. Step 6: Final answer
    x = 375,680.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.