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Finding the Fourth Proportional to 389,906.40, 583,693.20 and 343,250.40

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Solution

The fourth proportional to 389,906.40, 583,693.20 and 343,250.40 is: 513,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906.40 : 583,693.20 = 343,250.40 : x
  2. Step 2: Convert to fraction form
    389,906.40/583,693.20 = 343,250.40/x
  3. Step 3: Cross multiply
    389,906.40x = 583,693.20 × 343,250.40
  4. Step 4: Simplify right side
    389,906.40x = 200,352,924,377.28
  5. Step 5: Solve for x
    x = 200,352,924,377.28/389,906.40
  6. Step 6: Final answer
    x = 513,848.77

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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.