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Finding the Fourth Proportional to 438,409.74, 657,219.69 and 157,729.50

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Solution

The fourth proportional to 438,409.74, 657,219.69 and 157,729.50 is: 236,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,409.74 : 657,219.69 = 157,729.50 : x
  2. Step 2: Convert to fraction form
    438,409.74/657,219.69 = 157,729.50/x
  3. Step 3: Cross multiply
    438,409.74x = 657,219.69 × 157,729.50
  4. Step 4: Simplify right side
    438,409.74x = 103,662,933,093.86
  5. Step 5: Solve for x
    x = 103,662,933,093.86/438,409.74
  6. Step 6: Final answer
    x = 236,452.17

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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.