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Finding the Fourth Proportional to 426,972.60, 640,286.10 and 146,345.40

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Solution

The fourth proportional to 426,972.60, 640,286.10 and 146,345.40 is: 219,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,972.60 : 640,286.10 = 146,345.40 : x
  2. Step 2: Convert to fraction form
    426,972.60/640,286.10 = 146,345.40/x
  3. Step 3: Cross multiply
    426,972.60x = 640,286.10 × 146,345.40
  4. Step 4: Simplify right side
    426,972.60x = 93,702,925,418.94
  5. Step 5: Solve for x
    x = 93,702,925,418.94/426,972.60
  6. Step 6: Final answer
    x = 219,458.87

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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.