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Finding the Fourth Proportional to 412,365.84, 618,373.80 and 146,193.36

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Solution

The fourth proportional to 412,365.84, 618,373.80 and 146,193.36 is: 219,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,365.84 : 618,373.80 = 146,193.36 : x
  2. Step 2: Convert to fraction form
    412,365.84/618,373.80 = 146,193.36/x
  3. Step 3: Cross multiply
    412,365.84x = 618,373.80 × 146,193.36
  4. Step 4: Simplify right side
    412,365.84x = 90,402,143,557.97
  5. Step 5: Solve for x
    x = 90,402,143,557.97/412,365.84
  6. Step 6: Final answer
    x = 219,228.01

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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.