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Finding the Fourth Proportional to 409,425.36, 564,992.08 and 228,127.92

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Solution

The fourth proportional to 409,425.36, 564,992.08 and 228,127.92 is: 314,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.36 : 564,992.08 = 228,127.92 : x
  2. Step 2: Convert to fraction form
    409,425.36/564,992.08 = 228,127.92/x
  3. Step 3: Cross multiply
    409,425.36x = 564,992.08 × 228,127.92
  4. Step 4: Simplify right side
    409,425.36x = 128,890,468,026.87
  5. Step 5: Solve for x
    x = 128,890,468,026.87/409,425.36
  6. Step 6: Final answer
    x = 314,808.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.