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Finding the Fourth Proportional to 306,225.13, 459,431.15 and 156,570.54

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Solution

The fourth proportional to 306,225.13, 459,431.15 and 156,570.54 is: 234,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,225.13 : 459,431.15 = 156,570.54 : x
  2. Step 2: Convert to fraction form
    306,225.13/459,431.15 = 156,570.54/x
  3. Step 3: Cross multiply
    306,225.13x = 459,431.15 × 156,570.54
  4. Step 4: Simplify right side
    306,225.13x = 71,933,383,248.32
  5. Step 5: Solve for x
    x = 71,933,383,248.32/306,225.13
  6. Step 6: Final answer
    x = 234,903.59

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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.