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Finding the Fourth Proportional to 407,834.10, 611,751.15 and 248,401.80

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Solution

The fourth proportional to 407,834.10, 611,751.15 and 248,401.80 is: 372,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834.10 : 611,751.15 = 248,401.80 : x
  2. Step 2: Convert to fraction form
    407,834.10/611,751.15 = 248,401.80/x
  3. Step 3: Cross multiply
    407,834.10x = 611,751.15 × 248,401.80
  4. Step 4: Simplify right side
    407,834.10x = 151,960,086,812.07
  5. Step 5: Solve for x
    x = 151,960,086,812.07/407,834.10
  6. Step 6: Final answer
    x = 372,602.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.