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Finding the Fourth Proportional to 298,187.33, 410,931.63 and 213,156.77

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Solution

The fourth proportional to 298,187.33, 410,931.63 and 213,156.77 is: 293,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,187.33 : 410,931.63 = 213,156.77 : x
  2. Step 2: Convert to fraction form
    298,187.33/410,931.63 = 213,156.77/x
  3. Step 3: Cross multiply
    298,187.33x = 410,931.63 × 213,156.77
  4. Step 4: Simplify right side
    298,187.33x = 87,592,858,941.64
  5. Step 5: Solve for x
    x = 87,592,858,941.64/298,187.33
  6. Step 6: Final answer
    x = 293,751.11

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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.