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Finding the Fourth Proportional to 430,097.70, 644,927.85 and 252,659.10

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Solution

The fourth proportional to 430,097.70, 644,927.85 and 252,659.10 is: 378,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,097.70 : 644,927.85 = 252,659.10 : x
  2. Step 2: Convert to fraction form
    430,097.70/644,927.85 = 252,659.10/x
  3. Step 3: Cross multiply
    430,097.70x = 644,927.85 × 252,659.10
  4. Step 4: Simplify right side
    430,097.70x = 162,946,890,145.94
  5. Step 5: Solve for x
    x = 162,946,890,145.94/430,097.70
  6. Step 6: Final answer
    x = 378,860.18

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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.