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Finding the Fourth Proportional to 643,709.40, 966,024.90 and 362,928.60

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Solution

The fourth proportional to 643,709.40, 966,024.90 and 362,928.60 is: 544,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,709.40 : 966,024.90 = 362,928.60 : x
  2. Step 2: Convert to fraction form
    643,709.40/966,024.90 = 362,928.60/x
  3. Step 3: Cross multiply
    643,709.40x = 966,024.90 × 362,928.60
  4. Step 4: Simplify right side
    643,709.40x = 350,598,064,522.14
  5. Step 5: Solve for x
    x = 350,598,064,522.14/643,709.40
  6. Step 6: Final answer
    x = 544,652.70

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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.