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Finding the Fourth Proportional to 430,687.45, 646,090.28 and 146,301.67

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Solution

The fourth proportional to 430,687.45, 646,090.28 and 146,301.67 is: 219,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,687.45 : 646,090.28 = 146,301.67 : x
  2. Step 2: Convert to fraction form
    430,687.45/646,090.28 = 146,301.67/x
  3. Step 3: Cross multiply
    430,687.45x = 646,090.28 × 146,301.67
  4. Step 4: Simplify right side
    430,687.45x = 94,524,082,972.81
  5. Step 5: Solve for x
    x = 94,524,082,972.81/430,687.45
  6. Step 6: Final answer
    x = 219,472.57

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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.