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Finding the Fourth Proportional to 357,756.60, 493,695.09 and 194,405.88

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Solution

The fourth proportional to 357,756.60, 493,695.09 and 194,405.88 is: 268,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,756.60 : 493,695.09 = 194,405.88 : x
  2. Step 2: Convert to fraction form
    357,756.60/493,695.09 = 194,405.88/x
  3. Step 3: Cross multiply
    357,756.60x = 493,695.09 × 194,405.88
  4. Step 4: Simplify right side
    357,756.60x = 95,977,228,423.13
  5. Step 5: Solve for x
    x = 95,977,228,423.13/357,756.60
  6. Step 6: Final answer
    x = 268,275.21

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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.