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Finding the Fourth Proportional to 399,126, 598,787.64 and 118,642.08

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Solution

The fourth proportional to 399,126, 598,787.64 and 118,642.08 is: 177,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,126 : 598,787.64 = 118,642.08 : x
  2. Step 2: Convert to fraction form
    399,126/598,787.64 = 118,642.08/x
  3. Step 3: Cross multiply
    399,126x = 598,787.64 × 118,642.08
  4. Step 4: Simplify right side
    399,126x = 71,041,411,087.89
  5. Step 5: Solve for x
    x = 71,041,411,087.89/399,126
  6. Step 6: Final answer
    x = 177,992.44

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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.