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Finding the Fourth Proportional to 305,886.60, 458,829.90 and 211,408.20

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Solution

The fourth proportional to 305,886.60, 458,829.90 and 211,408.20 is: 317,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.60 : 458,829.90 = 211,408.20 : x
  2. Step 2: Convert to fraction form
    305,886.60/458,829.90 = 211,408.20/x
  3. Step 3: Cross multiply
    305,886.60x = 458,829.90 × 211,408.20
  4. Step 4: Simplify right side
    305,886.60x = 97,000,403,265.18
  5. Step 5: Solve for x
    x = 97,000,403,265.18/305,886.60
  6. Step 6: Final answer
    x = 317,112.30

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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.