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Finding the Fourth Proportional to 386,607.50, 533,492.70 and 214,514.55

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Solution

The fourth proportional to 386,607.50, 533,492.70 and 214,514.55 is: 296,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,607.50 : 533,492.70 = 214,514.55 : x
  2. Step 2: Convert to fraction form
    386,607.50/533,492.70 = 214,514.55/x
  3. Step 3: Cross multiply
    386,607.50x = 533,492.70 × 214,514.55
  4. Step 4: Simplify right side
    386,607.50x = 114,441,946,468.79
  5. Step 5: Solve for x
    x = 114,441,946,468.79/386,607.50
  6. Step 6: Final answer
    x = 296,015.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.