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Finding the Fourth Proportional to 513,897.39, 770,580.47 and 225,591.03

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Solution

The fourth proportional to 513,897.39, 770,580.47 and 225,591.03 is: 338,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,897.39 : 770,580.47 = 225,591.03 : x
  2. Step 2: Convert to fraction form
    513,897.39/770,580.47 = 225,591.03/x
  3. Step 3: Cross multiply
    513,897.39x = 770,580.47 × 225,591.03
  4. Step 4: Simplify right side
    513,897.39x = 173,836,041,925.18
  5. Step 5: Solve for x
    x = 173,836,041,925.18/513,897.39
  6. Step 6: Final answer
    x = 338,269.95

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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.