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Finding the Fourth Proportional to 508,350.58, 762,397.62 and 208,913.86

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Solution

The fourth proportional to 508,350.58, 762,397.62 and 208,913.86 is: 313,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,350.58 : 762,397.62 = 208,913.86 : x
  2. Step 2: Convert to fraction form
    508,350.58/762,397.62 = 208,913.86/x
  3. Step 3: Cross multiply
    508,350.58x = 762,397.62 × 208,913.86
  4. Step 4: Simplify right side
    508,350.58x = 159,275,429,649.01
  5. Step 5: Solve for x
    x = 159,275,429,649.01/508,350.58
  6. Step 6: Final answer
    x = 313,318.08

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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.