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Finding the Fourth Proportional to 286,714.67, 430,082.93 and 146,309.27

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Solution

The fourth proportional to 286,714.67, 430,082.93 and 146,309.27 is: 219,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,714.67 : 430,082.93 = 146,309.27 : x
  2. Step 2: Convert to fraction form
    286,714.67/430,082.93 = 146,309.27/x
  3. Step 3: Cross multiply
    286,714.67x = 430,082.93 × 146,309.27
  4. Step 4: Simplify right side
    286,714.67x = 62,925,117,743.12
  5. Step 5: Solve for x
    x = 62,925,117,743.12/286,714.67
  6. Step 6: Final answer
    x = 219,469.48

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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.