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Finding the Fourth Proportional to 438,030.12, 657,150.93 and 164,478.57

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Solution

The fourth proportional to 438,030.12, 657,150.93 and 164,478.57 is: 246,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,030.12 : 657,150.93 = 164,478.57 : x
  2. Step 2: Convert to fraction form
    438,030.12/657,150.93 = 164,478.57/x
  3. Step 3: Cross multiply
    438,030.12x = 657,150.93 × 164,478.57
  4. Step 4: Simplify right side
    438,030.12x = 108,087,243,530.58
  5. Step 5: Solve for x
    x = 108,087,243,530.58/438,030.12
  6. Step 6: Final answer
    x = 246,757.56

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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.