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Finding the Fourth Proportional to 508,580.66, 763,118.85 and 209,151.20

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Solution

The fourth proportional to 508,580.66, 763,118.85 and 209,151.20 is: 313,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,580.66 : 763,118.85 = 209,151.20 : x
  2. Step 2: Convert to fraction form
    508,580.66/763,118.85 = 209,151.20/x
  3. Step 3: Cross multiply
    508,580.66x = 763,118.85 × 209,151.20
  4. Step 4: Simplify right side
    508,580.66x = 159,607,219,404.53
  5. Step 5: Solve for x
    x = 159,607,219,404.53/508,580.66
  6. Step 6: Final answer
    x = 313,828.73

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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.