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Finding the Fourth Proportional to 409,396.47, 564,959.65 and 228,104.52

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Solution

The fourth proportional to 409,396.47, 564,959.65 and 228,104.52 is: 314,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,396.47 : 564,959.65 = 228,104.52 : x
  2. Step 2: Convert to fraction form
    409,396.47/564,959.65 = 228,104.52/x
  3. Step 3: Cross multiply
    409,396.47x = 564,959.65 × 228,104.52
  4. Step 4: Simplify right side
    409,396.47x = 128,869,849,782.62
  5. Step 5: Solve for x
    x = 128,869,849,782.62/409,396.47
  6. Step 6: Final answer
    x = 314,780.07

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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.