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Finding the Fourth Proportional to 357,988.65, 494,014.86 and 194,640

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Solution

The fourth proportional to 357,988.65, 494,014.86 and 194,640 is: 268,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,988.65 : 494,014.86 = 194,640 : x
  2. Step 2: Convert to fraction form
    357,988.65/494,014.86 = 194,640/x
  3. Step 3: Cross multiply
    357,988.65x = 494,014.86 × 194,640
  4. Step 4: Simplify right side
    357,988.65x = 96,155,052,350.40
  5. Step 5: Solve for x
    x = 96,155,052,350.40/357,988.65
  6. Step 6: Final answer
    x = 268,598.05

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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.