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Finding the Fourth Proportional to 370,104, 510,743.76 and 200,339.52

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Solution

The fourth proportional to 370,104, 510,743.76 and 200,339.52 is: 276,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,104 : 510,743.76 = 200,339.52 : x
  2. Step 2: Convert to fraction form
    370,104/510,743.76 = 200,339.52/x
  3. Step 3: Cross multiply
    370,104x = 510,743.76 × 200,339.52
  4. Step 4: Simplify right side
    370,104x = 102,322,159,721.40
  5. Step 5: Solve for x
    x = 102,322,159,721.40/370,104
  6. Step 6: Final answer
    x = 276,468.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.