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Finding the Fourth Proportional to 409,414.64, 564,975.24 and 228,117.20

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Solution

The fourth proportional to 409,414.64, 564,975.24 and 228,117.20 is: 314,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.64 : 564,975.24 = 228,117.20 : x
  2. Step 2: Convert to fraction form
    409,414.64/564,975.24 = 228,117.20/x
  3. Step 3: Cross multiply
    409,414.64x = 564,975.24 × 228,117.20
  4. Step 4: Simplify right side
    409,414.64x = 128,880,569,818.13
  5. Step 5: Solve for x
    x = 128,880,569,818.13/409,414.64
  6. Step 6: Final answer
    x = 314,792.28

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1.5x scale

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.