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Finding the Fourth Proportional to 613,073.76, 918,768.96 and 312,922.08

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Solution

The fourth proportional to 613,073.76, 918,768.96 and 312,922.08 is: 468,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,073.76 : 918,768.96 = 312,922.08 : x
  2. Step 2: Convert to fraction form
    613,073.76/918,768.96 = 312,922.08/x
  3. Step 3: Cross multiply
    613,073.76x = 918,768.96 × 312,922.08
  4. Step 4: Simplify right side
    613,073.76x = 287,503,094,002.64
  5. Step 5: Solve for x
    x = 287,503,094,002.64/613,073.76
  6. Step 6: Final answer
    x = 468,953.51

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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.