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Finding the Fourth Proportional to 412,665.60, 618,998.40 and 355,584.90

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Solution

The fourth proportional to 412,665.60, 618,998.40 and 355,584.90 is: 533,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,665.60 : 618,998.40 = 355,584.90 : x
  2. Step 2: Convert to fraction form
    412,665.60/618,998.40 = 355,584.90/x
  3. Step 3: Cross multiply
    412,665.60x = 618,998.40 × 355,584.90
  4. Step 4: Simplify right side
    412,665.60x = 220,106,484,164.16
  5. Step 5: Solve for x
    x = 220,106,484,164.16/412,665.60
  6. Step 6: Final answer
    x = 533,377.35

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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.