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Finding the Fourth Proportional to 306,992.33, 459,638.30 and 156,909.46

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Solution

The fourth proportional to 306,992.33, 459,638.30 and 156,909.46 is: 234,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,992.33 : 459,638.30 = 156,909.46 : x
  2. Step 2: Convert to fraction form
    306,992.33/459,638.30 = 156,909.46/x
  3. Step 3: Cross multiply
    306,992.33x = 459,638.30 × 156,909.46
  4. Step 4: Simplify right side
    306,992.33x = 72,121,596,691.50
  5. Step 5: Solve for x
    x = 72,121,596,691.50/306,992.33
  6. Step 6: Final answer
    x = 234,929.64

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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.