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Finding the Fourth Proportional to 430,185.64, 644,390.70 and 252,151.96

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Solution

The fourth proportional to 430,185.64, 644,390.70 and 252,151.96 is: 377,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,185.64 : 644,390.70 = 252,151.96 : x
  2. Step 2: Convert to fraction form
    430,185.64/644,390.70 = 252,151.96/x
  3. Step 3: Cross multiply
    430,185.64x = 644,390.70 × 252,151.96
  4. Step 4: Simplify right side
    430,185.64x = 162,484,378,010.77
  5. Step 5: Solve for x
    x = 162,484,378,010.77/430,185.64
  6. Step 6: Final answer
    x = 377,707.58

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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.