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Finding the Fourth Proportional to 306,122.48, 459,322.32 and 156,285.44

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Solution

The fourth proportional to 306,122.48, 459,322.32 and 156,285.44 is: 234,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,122.48 : 459,322.32 = 156,285.44 : x
  2. Step 2: Convert to fraction form
    306,122.48/459,322.32 = 156,285.44/x
  3. Step 3: Cross multiply
    306,122.48x = 459,322.32 × 156,285.44
  4. Step 4: Simplify right side
    306,122.48x = 71,785,390,883.02
  5. Step 5: Solve for x
    x = 71,785,390,883.02/306,122.48
  6. Step 6: Final answer
    x = 234,498.92

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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.