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Finding the Fourth Proportional to 399,222, 598,839.48 and 114,916.32

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Solution

The fourth proportional to 399,222, 598,839.48 and 114,916.32 is: 172,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,222 : 598,839.48 = 114,916.32 : x
  2. Step 2: Convert to fraction form
    399,222/598,839.48 = 114,916.32/x
  3. Step 3: Cross multiply
    399,222x = 598,839.48 × 114,916.32
  4. Step 4: Simplify right side
    399,222x = 68,816,429,312.31
  5. Step 5: Solve for x
    x = 68,816,429,312.31/399,222
  6. Step 6: Final answer
    x = 172,376.35

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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.