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Finding the Fourth Proportional to 407,841.10, 611,823.88 and 208,052.48

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Solution

The fourth proportional to 407,841.10, 611,823.88 and 208,052.48 is: 312,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,841.10 : 611,823.88 = 208,052.48 : x
  2. Step 2: Convert to fraction form
    407,841.10/611,823.88 = 208,052.48/x
  3. Step 3: Cross multiply
    407,841.10x = 611,823.88 × 208,052.48
  4. Step 4: Simplify right side
    407,841.10x = 127,291,477,346.85
  5. Step 5: Solve for x
    x = 127,291,477,346.85/407,841.10
  6. Step 6: Final answer
    x = 312,110.47

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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.