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Finding the Fourth Proportional to 643,309.20, 964,672.20 and 243,817.20

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Solution

The fourth proportional to 643,309.20, 964,672.20 and 243,817.20 is: 365,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,309.20 : 964,672.20 = 243,817.20 : x
  2. Step 2: Convert to fraction form
    643,309.20/964,672.20 = 243,817.20/x
  3. Step 3: Cross multiply
    643,309.20x = 964,672.20 × 243,817.20
  4. Step 4: Simplify right side
    643,309.20x = 235,203,674,721.84
  5. Step 5: Solve for x
    x = 235,203,674,721.84/643,309.20
  6. Step 6: Final answer
    x = 365,615.28

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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.