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Finding the Fourth Proportional to 306,218.32, 459,420.81 and 156,563.69

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Solution

The fourth proportional to 306,218.32, 459,420.81 and 156,563.69 is: 234,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,218.32 : 459,420.81 = 156,563.69 : x
  2. Step 2: Convert to fraction form
    306,218.32/459,420.81 = 156,563.69/x
  3. Step 3: Cross multiply
    306,218.32x = 459,420.81 × 156,563.69
  4. Step 4: Simplify right side
    306,218.32x = 71,928,615,272.84
  5. Step 5: Solve for x
    x = 71,928,615,272.84/306,218.32
  6. Step 6: Final answer
    x = 234,893.24

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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.