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Finding the Fourth Proportional to 409,313.66, 564,869.81 and 228,025.49

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Solution

The fourth proportional to 409,313.66, 564,869.81 and 228,025.49 is: 314,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,313.66 : 564,869.81 = 228,025.49 : x
  2. Step 2: Convert to fraction form
    409,313.66/564,869.81 = 228,025.49/x
  3. Step 3: Cross multiply
    409,313.66x = 564,869.81 × 228,025.49
  4. Step 4: Simplify right side
    409,313.66x = 128,804,715,211.46
  5. Step 5: Solve for x
    x = 128,804,715,211.46/409,313.66
  6. Step 6: Final answer
    x = 314,684.62

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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.