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Finding the Fourth Proportional to 508,926.96, 763,652.89 and 209,628.72

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Solution

The fourth proportional to 508,926.96, 763,652.89 and 209,628.72 is: 314,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,926.96 : 763,652.89 = 209,628.72 : x
  2. Step 2: Convert to fraction form
    508,926.96/763,652.89 = 209,628.72/x
  3. Step 3: Cross multiply
    508,926.96x = 763,652.89 × 209,628.72
  4. Step 4: Simplify right side
    508,926.96x = 160,083,577,855.00
  5. Step 5: Solve for x
    x = 160,083,577,855.00/508,926.96
  6. Step 6: Final answer
    x = 314,551.18

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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.