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Finding the Fourth Proportional to 305,886.30, 458,829.45 and 199,598.10

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Solution

The fourth proportional to 305,886.30, 458,829.45 and 199,598.10 is: 299,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.30 : 458,829.45 = 199,598.10 : x
  2. Step 2: Convert to fraction form
    305,886.30/458,829.45 = 199,598.10/x
  3. Step 3: Cross multiply
    305,886.30x = 458,829.45 × 199,598.10
  4. Step 4: Simplify right side
    305,886.30x = 91,581,486,444.05
  5. Step 5: Solve for x
    x = 91,581,486,444.05/305,886.30
  6. Step 6: Final answer
    x = 299,397.15

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Similar ratio
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1.5x scale

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.