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Finding the Fourth Proportional to 438,155, 657,232.56 and 105,731

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Solution

The fourth proportional to 438,155, 657,232.56 and 105,731 is: 158,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,155 : 657,232.56 = 105,731 : x
  2. Step 2: Convert to fraction form
    438,155/657,232.56 = 105,731/x
  3. Step 3: Cross multiply
    438,155x = 657,232.56 × 105,731
  4. Step 4: Simplify right side
    438,155x = 69,489,855,801.36
  5. Step 5: Solve for x
    x = 69,489,855,801.36/438,155
  6. Step 6: Final answer
    x = 158,596.51

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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.