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Finding the Fourth Proportional to 510,299.45, 765,922.03 and 257,756.95

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Solution

The fourth proportional to 510,299.45, 765,922.03 and 257,756.95 is: 386,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,299.45 : 765,922.03 = 257,756.95 : x
  2. Step 2: Convert to fraction form
    510,299.45/765,922.03 = 257,756.95/x
  3. Step 3: Cross multiply
    510,299.45x = 765,922.03 × 257,756.95
  4. Step 4: Simplify right side
    510,299.45x = 197,421,723,831.41
  5. Step 5: Solve for x
    x = 197,421,723,831.41/510,299.45
  6. Step 6: Final answer
    x = 386,874.27

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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.