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Finding the Fourth Proportional to 314,357.71, 471,272.07 and 136,730.94

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Solution

The fourth proportional to 314,357.71, 471,272.07 and 136,730.94 is: 204,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,357.71 : 471,272.07 = 136,730.94 : x
  2. Step 2: Convert to fraction form
    314,357.71/471,272.07 = 136,730.94/x
  3. Step 3: Cross multiply
    314,357.71x = 471,272.07 × 136,730.94
  4. Step 4: Simplify right side
    314,357.71x = 64,437,471,872.32
  5. Step 5: Solve for x
    x = 64,437,471,872.32/314,357.71
  6. Step 6: Final answer
    x = 204,981.36

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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.