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Finding the Fourth Proportional to 542,407.60, 813,465.60 and 226,799.20

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Solution

The fourth proportional to 542,407.60, 813,465.60 and 226,799.20 is: 340,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,407.60 : 813,465.60 = 226,799.20 : x
  2. Step 2: Convert to fraction form
    542,407.60/813,465.60 = 226,799.20/x
  3. Step 3: Cross multiply
    542,407.60x = 813,465.60 × 226,799.20
  4. Step 4: Simplify right side
    542,407.60x = 184,493,347,307.52
  5. Step 5: Solve for x
    x = 184,493,347,307.52/542,407.60
  6. Step 6: Final answer
    x = 340,137.84

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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.