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Finding the Fourth Proportional to 390,918.92, 586,388.46 and 106,611.80

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Solution

The fourth proportional to 390,918.92, 586,388.46 and 106,611.80 is: 159,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,918.92 : 586,388.46 = 106,611.80 : x
  2. Step 2: Convert to fraction form
    390,918.92/586,388.46 = 106,611.80/x
  3. Step 3: Cross multiply
    390,918.92x = 586,388.46 × 106,611.80
  4. Step 4: Simplify right side
    390,918.92x = 62,515,929,219.83
  5. Step 5: Solve for x
    x = 62,515,929,219.83/390,918.92
  6. Step 6: Final answer
    x = 159,920.45

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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.