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Finding the Fourth Proportional to 398,642,407.60, 597,963,611.40 and 252,602,420.80

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Solution

The fourth proportional to 398,642,407.60, 597,963,611.40 and 252,602,420.80 is: 378,903,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,642,407.60 : 597,963,611.40 = 252,602,420.80 : x
  2. Step 2: Convert to fraction form
    398,642,407.60/597,963,611.40 = 252,602,420.80/x
  3. Step 3: Cross multiply
    398,642,407.60x = 597,963,611.40 × 252,602,420.80
  4. Step 4: Simplify right side
    398,642,407.60x = 151,047,055,789,950,464
  5. Step 5: Solve for x
    x = 151,047,055,789,950,464/398,642,407.60
  6. Step 6: Final answer
    x = 378,903,631.20

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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.