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Finding the Fourth Proportional to 306,574.56, 459,706.32 and 140,220

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Solution

The fourth proportional to 306,574.56, 459,706.32 and 140,220 is: 210,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,574.56 : 459,706.32 = 140,220 : x
  2. Step 2: Convert to fraction form
    306,574.56/459,706.32 = 140,220/x
  3. Step 3: Cross multiply
    306,574.56x = 459,706.32 × 140,220
  4. Step 4: Simplify right side
    306,574.56x = 64,460,020,190.40
  5. Step 5: Solve for x
    x = 64,460,020,190.40/306,574.56
  6. Step 6: Final answer
    x = 210,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.