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Finding the Fourth Proportional to 357,786.59, 493,539.91 and 223,417.31

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Solution

The fourth proportional to 357,786.59, 493,539.91 and 223,417.31 is: 308,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,786.59 : 493,539.91 = 223,417.31 : x
  2. Step 2: Convert to fraction form
    357,786.59/493,539.91 = 223,417.31/x
  3. Step 3: Cross multiply
    357,786.59x = 493,539.91 × 223,417.31
  4. Step 4: Simplify right side
    357,786.59x = 110,265,359,069.84
  5. Step 5: Solve for x
    x = 110,265,359,069.84/357,786.59
  6. Step 6: Final answer
    x = 308,187.51

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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.