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Finding the Fourth Proportional to 430,462.01, 645,264.56 and 205,559.53

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Solution

The fourth proportional to 430,462.01, 645,264.56 and 205,559.53 is: 308,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,462.01 : 645,264.56 = 205,559.53 : x
  2. Step 2: Convert to fraction form
    430,462.01/645,264.56 = 205,559.53/x
  3. Step 3: Cross multiply
    430,462.01x = 645,264.56 × 205,559.53
  4. Step 4: Simplify right side
    430,462.01x = 132,640,278,579.99
  5. Step 5: Solve for x
    x = 132,640,278,579.99/430,462.01
  6. Step 6: Final answer
    x = 308,134.69

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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.