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Finding the Fourth Proportional to 329,652,558.40, 494,478,837.60 and 99,657,140.80

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Solution

The fourth proportional to 329,652,558.40, 494,478,837.60 and 99,657,140.80 is: 149,485,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,652,558.40 : 494,478,837.60 = 99,657,140.80 : x
  2. Step 2: Convert to fraction form
    329,652,558.40/494,478,837.60 = 99,657,140.80/x
  3. Step 3: Cross multiply
    329,652,558.40x = 494,478,837.60 × 99,657,140.80
  4. Step 4: Simplify right side
    329,652,558.40x = 49,278,347,141,323,536
  5. Step 5: Solve for x
    x = 49,278,347,141,323,536/329,652,558.40
  6. Step 6: Final answer
    x = 149,485,711.20

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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.