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Finding the Fourth Proportional to 409,868.64, 565,618.32 and 228,596.64

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Solution

The fourth proportional to 409,868.64, 565,618.32 and 228,596.64 is: 315,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,868.64 : 565,618.32 = 228,596.64 : x
  2. Step 2: Convert to fraction form
    409,868.64/565,618.32 = 228,596.64/x
  3. Step 3: Cross multiply
    409,868.64x = 565,618.32 × 228,596.64
  4. Step 4: Simplify right side
    409,868.64x = 129,298,447,474.45
  5. Step 5: Solve for x
    x = 129,298,447,474.45/409,868.64
  6. Step 6: Final answer
    x = 315,463.14

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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.