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Finding the Fourth Proportional to 520,906.60, 781,878.30 and 254,967.40

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Solution

The fourth proportional to 520,906.60, 781,878.30 and 254,967.40 is: 382,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,906.60 : 781,878.30 = 254,967.40 : x
  2. Step 2: Convert to fraction form
    520,906.60/781,878.30 = 254,967.40/x
  3. Step 3: Cross multiply
    520,906.60x = 781,878.30 × 254,967.40
  4. Step 4: Simplify right side
    520,906.60x = 199,353,477,267.42
  5. Step 5: Solve for x
    x = 199,353,477,267.42/520,906.60
  6. Step 6: Final answer
    x = 382,704.84

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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.