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Finding the Fourth Proportional to 306,621, 459,931.50 and 85,005

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Solution

The fourth proportional to 306,621, 459,931.50 and 85,005 is: 127,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,621 : 459,931.50 = 85,005 : x
  2. Step 2: Convert to fraction form
    306,621/459,931.50 = 85,005/x
  3. Step 3: Cross multiply
    306,621x = 459,931.50 × 85,005
  4. Step 4: Simplify right side
    306,621x = 39,096,477,157.50
  5. Step 5: Solve for x
    x = 39,096,477,157.50/306,621
  6. Step 6: Final answer
    x = 127,507.50

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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.