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Finding the Fourth Proportional to 424,071.62, 636,186.25 and 139,782.14

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Solution

The fourth proportional to 424,071.62, 636,186.25 and 139,782.14 is: 209,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,071.62 : 636,186.25 = 139,782.14 : x
  2. Step 2: Convert to fraction form
    424,071.62/636,186.25 = 139,782.14/x
  3. Step 3: Cross multiply
    424,071.62x = 636,186.25 × 139,782.14
  4. Step 4: Simplify right side
    424,071.62x = 88,927,474,843.07
  5. Step 5: Solve for x
    x = 88,927,474,843.07/424,071.62
  6. Step 6: Final answer
    x = 209,699.19

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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.