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Finding the Fourth Proportional to 357,487.53, 493,341.75 and 196,357.74

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Solution

The fourth proportional to 357,487.53, 493,341.75 and 196,357.74 is: 270,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,487.53 : 493,341.75 = 196,357.74 : x
  2. Step 2: Convert to fraction form
    357,487.53/493,341.75 = 196,357.74/x
  3. Step 3: Cross multiply
    357,487.53x = 493,341.75 × 196,357.74
  4. Step 4: Simplify right side
    357,487.53x = 96,871,471,077.65
  5. Step 5: Solve for x
    x = 96,871,471,077.65/357,487.53
  6. Step 6: Final answer
    x = 270,978.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.