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Finding the Fourth Proportional to 412,655.60, 618,983.40 and 307,679.60

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Solution

The fourth proportional to 412,655.60, 618,983.40 and 307,679.60 is: 461,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,655.60 : 618,983.40 = 307,679.60 : x
  2. Step 2: Convert to fraction form
    412,655.60/618,983.40 = 307,679.60/x
  3. Step 3: Cross multiply
    412,655.60x = 618,983.40 × 307,679.60
  4. Step 4: Simplify right side
    412,655.60x = 190,448,564,918.64
  5. Step 5: Solve for x
    x = 190,448,564,918.64/412,655.60
  6. Step 6: Final answer
    x = 461,519.40

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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.