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Finding the Fourth Proportional to 304,656.81, 457,078.64 and 136,318.83

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Solution

The fourth proportional to 304,656.81, 457,078.64 and 136,318.83 is: 204,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,656.81 : 457,078.64 = 136,318.83 : x
  2. Step 2: Convert to fraction form
    304,656.81/457,078.64 = 136,318.83/x
  3. Step 3: Cross multiply
    304,656.81x = 457,078.64 × 136,318.83
  4. Step 4: Simplify right side
    304,656.81x = 62,308,424,741.20
  5. Step 5: Solve for x
    x = 62,308,424,741.20/304,656.81
  6. Step 6: Final answer
    x = 204,520.05

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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.