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Finding the Fourth Proportional to 438,655.80, 657,108.90 and 228,412.20

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Solution

The fourth proportional to 438,655.80, 657,108.90 and 228,412.20 is: 342,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,655.80 : 657,108.90 = 228,412.20 : x
  2. Step 2: Convert to fraction form
    438,655.80/657,108.90 = 228,412.20/x
  3. Step 3: Cross multiply
    438,655.80x = 657,108.90 × 228,412.20
  4. Step 4: Simplify right side
    438,655.80x = 150,091,689,488.58
  5. Step 5: Solve for x
    x = 150,091,689,488.58/438,655.80
  6. Step 6: Final answer
    x = 342,162.78

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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.