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Finding the Fourth Proportional to 306,825.30, 459,909.90 and 138,316.95

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Solution

The fourth proportional to 306,825.30, 459,909.90 and 138,316.95 is: 207,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,825.30 : 459,909.90 = 138,316.95 : x
  2. Step 2: Convert to fraction form
    306,825.30/459,909.90 = 138,316.95/x
  3. Step 3: Cross multiply
    306,825.30x = 459,909.90 × 138,316.95
  4. Step 4: Simplify right side
    306,825.30x = 63,613,334,642.81
  5. Step 5: Solve for x
    x = 63,613,334,642.81/306,825.30
  6. Step 6: Final answer
    x = 207,327.54

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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.