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Finding the Fourth Proportional to 430,687.65, 646,090.58 and 146,301.85

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Solution

The fourth proportional to 430,687.65, 646,090.58 and 146,301.85 is: 219,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,687.65 : 646,090.58 = 146,301.85 : x
  2. Step 2: Convert to fraction form
    430,687.65/646,090.58 = 146,301.85/x
  3. Step 3: Cross multiply
    430,687.65x = 646,090.58 × 146,301.85
  4. Step 4: Simplify right side
    430,687.65x = 94,524,247,121.57
  5. Step 5: Solve for x
    x = 94,524,247,121.57/430,687.65
  6. Step 6: Final answer
    x = 219,472.85

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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.