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Finding the Fourth Proportional to 438,045.45, 657,089.78 and 228,093.45

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Solution

The fourth proportional to 438,045.45, 657,089.78 and 228,093.45 is: 342,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,045.45 : 657,089.78 = 228,093.45 : x
  2. Step 2: Convert to fraction form
    438,045.45/657,089.78 = 228,093.45/x
  3. Step 3: Cross multiply
    438,045.45x = 657,089.78 × 228,093.45
  4. Step 4: Simplify right side
    438,045.45x = 149,877,873,739.47
  5. Step 5: Solve for x
    x = 149,877,873,739.47/438,045.45
  6. Step 6: Final answer
    x = 342,151.42

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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.