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Finding the Fourth Proportional to 508,908.90, 762,200.73 and 242,856.30

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Solution

The fourth proportional to 508,908.90, 762,200.73 and 242,856.30 is: 363,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,908.90 : 762,200.73 = 242,856.30 : x
  2. Step 2: Convert to fraction form
    508,908.90/762,200.73 = 242,856.30/x
  3. Step 3: Cross multiply
    508,908.90x = 762,200.73 × 242,856.30
  4. Step 4: Simplify right side
    508,908.90x = 185,105,249,145.10
  5. Step 5: Solve for x
    x = 185,105,249,145.10/508,908.90
  6. Step 6: Final answer
    x = 363,729.64

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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.