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Finding the Fourth Proportional to 438,406.40, 657,955.32 and 225,165.68

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Solution

The fourth proportional to 438,406.40, 657,955.32 and 225,165.68 is: 337,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,406.40 : 657,955.32 = 225,165.68 : x
  2. Step 2: Convert to fraction form
    438,406.40/657,955.32 = 225,165.68/x
  3. Step 3: Cross multiply
    438,406.40x = 657,955.32 × 225,165.68
  4. Step 4: Simplify right side
    438,406.40x = 148,148,957,037.42
  5. Step 5: Solve for x
    x = 148,148,957,037.42/438,406.40
  6. Step 6: Final answer
    x = 337,926.08

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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.