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Finding the Fourth Proportional to 438,420.46, 657,649.83 and 138,923.11

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Solution

The fourth proportional to 438,420.46, 657,649.83 and 138,923.11 is: 208,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.46 : 657,649.83 = 138,923.11 : x
  2. Step 2: Convert to fraction form
    438,420.46/657,649.83 = 138,923.11/x
  3. Step 3: Cross multiply
    438,420.46x = 657,649.83 × 138,923.11
  4. Step 4: Simplify right side
    438,420.46x = 91,362,759,674.57
  5. Step 5: Solve for x
    x = 91,362,759,674.57/438,420.46
  6. Step 6: Final answer
    x = 208,390.73

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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.