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Finding the Fourth Proportional to 409,576,507.60, 614,364,761.40 and 136,947,274.60

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Solution

The fourth proportional to 409,576,507.60, 614,364,761.40 and 136,947,274.60 is: 205,420,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,576,507.60 : 614,364,761.40 = 136,947,274.60 : x
  2. Step 2: Convert to fraction form
    409,576,507.60/614,364,761.40 = 136,947,274.60/x
  3. Step 3: Cross multiply
    409,576,507.60x = 614,364,761.40 × 136,947,274.60
  4. Step 4: Simplify right side
    409,576,507.60x = 84,135,579,684,009,280
  5. Step 5: Solve for x
    x = 84,135,579,684,009,280/409,576,507.60
  6. Step 6: Final answer
    x = 205,420,911.90

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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.