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Finding the Fourth Proportional to 389,912.40, 583,702.20 and 343,256.40

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Solution

The fourth proportional to 389,912.40, 583,702.20 and 343,256.40 is: 513,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,912.40 : 583,702.20 = 343,256.40 : x
  2. Step 2: Convert to fraction form
    389,912.40/583,702.20 = 343,256.40/x
  3. Step 3: Cross multiply
    389,912.40x = 583,702.20 × 343,256.40
  4. Step 4: Simplify right side
    389,912.40x = 200,359,515,844.08
  5. Step 5: Solve for x
    x = 200,359,515,844.08/389,912.40
  6. Step 6: Final answer
    x = 513,857.77

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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.