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Finding the Fourth Proportional to 361,871.55, 499,373.08 and 208,904.57

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Solution

The fourth proportional to 361,871.55, 499,373.08 and 208,904.57 is: 288,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871.55 : 499,373.08 = 208,904.57 : x
  2. Step 2: Convert to fraction form
    361,871.55/499,373.08 = 208,904.57/x
  3. Step 3: Cross multiply
    361,871.55x = 499,373.08 × 208,904.57
  4. Step 4: Simplify right side
    361,871.55x = 104,321,316,050.11
  5. Step 5: Solve for x
    x = 104,321,316,050.11/361,871.55
  6. Step 6: Final answer
    x = 288,282.73

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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.