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Finding the Fourth Proportional to 611,074.24, 916,392.64 and 211,607.76

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Solution

The fourth proportional to 611,074.24, 916,392.64 and 211,607.76 is: 317,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,074.24 : 916,392.64 = 211,607.76 : x
  2. Step 2: Convert to fraction form
    611,074.24/916,392.64 = 211,607.76/x
  3. Step 3: Cross multiply
    611,074.24x = 916,392.64 × 211,607.76
  4. Step 4: Simplify right side
    611,074.24x = 193,915,793,830.89
  5. Step 5: Solve for x
    x = 193,915,793,830.89/611,074.24
  6. Step 6: Final answer
    x = 317,335.90

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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.