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Finding the Fourth Proportional to 393,415.65, 589,978.89 and 140,627.93

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Solution

The fourth proportional to 393,415.65, 589,978.89 and 140,627.93 is: 210,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,415.65 : 589,978.89 = 140,627.93 : x
  2. Step 2: Convert to fraction form
    393,415.65/589,978.89 = 140,627.93/x
  3. Step 3: Cross multiply
    393,415.65x = 589,978.89 × 140,627.93
  4. Step 4: Simplify right side
    393,415.65x = 82,967,507,094.50
  5. Step 5: Solve for x
    x = 82,967,507,094.50/393,415.65
  6. Step 6: Final answer
    x = 210,890.21

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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.