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Finding the Fourth Proportional to 357,346.26, 493,368.66 and 221,524.74

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Solution

The fourth proportional to 357,346.26, 493,368.66 and 221,524.74 is: 305,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,346.26 : 493,368.66 = 221,524.74 : x
  2. Step 2: Convert to fraction form
    357,346.26/493,368.66 = 221,524.74/x
  3. Step 3: Cross multiply
    357,346.26x = 493,368.66 × 221,524.74
  4. Step 4: Simplify right side
    357,346.26x = 109,293,364,130.65
  5. Step 5: Solve for x
    x = 109,293,364,130.65/357,346.26
  6. Step 6: Final answer
    x = 305,847.23

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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.