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Finding the Fourth Proportional to 438,051.38, 657,148.14 and 171,667.49

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Solution

The fourth proportional to 438,051.38, 657,148.14 and 171,667.49 is: 257,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,051.38 : 657,148.14 = 171,667.49 : x
  2. Step 2: Convert to fraction form
    438,051.38/657,148.14 = 171,667.49/x
  3. Step 3: Cross multiply
    438,051.38x = 657,148.14 × 171,667.49
  4. Step 4: Simplify right side
    438,051.38x = 112,810,968,466.23
  5. Step 5: Solve for x
    x = 112,810,968,466.23/438,051.38
  6. Step 6: Final answer
    x = 257,529.08

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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.