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Finding the Fourth Proportional to 399,962.64, 600,238.72 and 189,599.76

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Solution

The fourth proportional to 399,962.64, 600,238.72 and 189,599.76 is: 284,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,962.64 : 600,238.72 = 189,599.76 : x
  2. Step 2: Convert to fraction form
    399,962.64/600,238.72 = 189,599.76/x
  3. Step 3: Cross multiply
    399,962.64x = 600,238.72 × 189,599.76
  4. Step 4: Simplify right side
    399,962.64x = 113,805,117,254.71
  5. Step 5: Solve for x
    x = 113,805,117,254.71/399,962.64
  6. Step 6: Final answer
    x = 284,539.37

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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.