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Finding the Fourth Proportional to 510,493.47, 766,212.84 and 257,951.67

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Solution

The fourth proportional to 510,493.47, 766,212.84 and 257,951.67 is: 387,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,493.47 : 766,212.84 = 257,951.67 : x
  2. Step 2: Convert to fraction form
    510,493.47/766,212.84 = 257,951.67/x
  3. Step 3: Cross multiply
    510,493.47x = 766,212.84 × 257,951.67
  4. Step 4: Simplify right side
    510,493.47x = 197,645,881,653.44
  5. Step 5: Solve for x
    x = 197,645,881,653.44/510,493.47
  6. Step 6: Final answer
    x = 387,166.33

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1.5x scale

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.