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Finding the Fourth Proportional to 438,378.64, 657,412.44 and 157,820.56

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Solution

The fourth proportional to 438,378.64, 657,412.44 and 157,820.56 is: 236,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,378.64 : 657,412.44 = 157,820.56 : x
  2. Step 2: Convert to fraction form
    438,378.64/657,412.44 = 157,820.56/x
  3. Step 3: Cross multiply
    438,378.64x = 657,412.44 × 157,820.56
  4. Step 4: Simplify right side
    438,378.64x = 103,753,199,431.77
  5. Step 5: Solve for x
    x = 103,753,199,431.77/438,378.64
  6. Step 6: Final answer
    x = 236,674.85

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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.