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Finding the Fourth Proportional to 409,830.73, 565,568.88 and 228,554.13

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Solution

The fourth proportional to 409,830.73, 565,568.88 and 228,554.13 is: 315,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,830.73 : 565,568.88 = 228,554.13 : x
  2. Step 2: Convert to fraction form
    409,830.73/565,568.88 = 228,554.13/x
  3. Step 3: Cross multiply
    409,830.73x = 565,568.88 × 228,554.13
  4. Step 4: Simplify right side
    409,830.73x = 129,263,103,323.47
  5. Step 5: Solve for x
    x = 129,263,103,323.47/409,830.73
  6. Step 6: Final answer
    x = 315,406.08

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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.