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Finding the Fourth Proportional to 286,957.32, 430,446.87 and 146,551.92

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Solution

The fourth proportional to 286,957.32, 430,446.87 and 146,551.92 is: 219,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,957.32 : 430,446.87 = 146,551.92 : x
  2. Step 2: Convert to fraction form
    286,957.32/430,446.87 = 146,551.92/x
  3. Step 3: Cross multiply
    286,957.32x = 430,446.87 × 146,551.92
  4. Step 4: Simplify right side
    286,957.32x = 63,082,815,256.49
  5. Step 5: Solve for x
    x = 63,082,815,256.49/286,957.32
  6. Step 6: Final answer
    x = 219,833.44

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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.