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Finding the Fourth Proportional to 542,856.30, 814,284.45 and 454,938.90

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Solution

The fourth proportional to 542,856.30, 814,284.45 and 454,938.90 is: 682,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,856.30 : 814,284.45 = 454,938.90 : x
  2. Step 2: Convert to fraction form
    542,856.30/814,284.45 = 454,938.90/x
  3. Step 3: Cross multiply
    542,856.30x = 814,284.45 × 454,938.90
  4. Step 4: Simplify right side
    542,856.30x = 370,449,671,970.11
  5. Step 5: Solve for x
    x = 370,449,671,970.11/542,856.30
  6. Step 6: Final answer
    x = 682,408.35

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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.