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Finding the Fourth Proportional to 439,492.40, 658,365.12 and 214,195.84

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Solution

The fourth proportional to 439,492.40, 658,365.12 and 214,195.84 is: 320,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,492.40 : 658,365.12 = 214,195.84 : x
  2. Step 2: Convert to fraction form
    439,492.40/658,365.12 = 214,195.84/x
  3. Step 3: Cross multiply
    439,492.40x = 658,365.12 × 214,195.84
  4. Step 4: Simplify right side
    439,492.40x = 141,019,069,905.10
  5. Step 5: Solve for x
    x = 141,019,069,905.10/439,492.40
  6. Step 6: Final answer
    x = 320,868.05

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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.