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Finding the Fourth Proportional to 413,772.64, 620,642.10 and 143,962.54

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Solution

The fourth proportional to 413,772.64, 620,642.10 and 143,962.54 is: 215,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,772.64 : 620,642.10 = 143,962.54 : x
  2. Step 2: Convert to fraction form
    413,772.64/620,642.10 = 143,962.54/x
  3. Step 3: Cross multiply
    413,772.64x = 620,642.10 × 143,962.54
  4. Step 4: Simplify right side
    413,772.64x = 89,349,213,146.93
  5. Step 5: Solve for x
    x = 89,349,213,146.93/413,772.64
  6. Step 6: Final answer
    x = 215,937.94

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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.