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Finding the Fourth Proportional to 438,051.49, 656,825.73 and 171,499.93

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Solution

The fourth proportional to 438,051.49, 656,825.73 and 171,499.93 is: 257,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,051.49 : 656,825.73 = 171,499.93 : x
  2. Step 2: Convert to fraction form
    438,051.49/656,825.73 = 171,499.93/x
  3. Step 3: Cross multiply
    438,051.49x = 656,825.73 × 171,499.93
  4. Step 4: Simplify right side
    438,051.49x = 112,645,566,717.20
  5. Step 5: Solve for x
    x = 112,645,566,717.20/438,051.49
  6. Step 6: Final answer
    x = 257,151.43

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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.