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Finding the Fourth Proportional to 458,953.54, 688,192.73 and 206,016.23

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Solution

The fourth proportional to 458,953.54, 688,192.73 and 206,016.23 is: 308,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,953.54 : 688,192.73 = 206,016.23 : x
  2. Step 2: Convert to fraction form
    458,953.54/688,192.73 = 206,016.23/x
  3. Step 3: Cross multiply
    458,953.54x = 688,192.73 × 206,016.23
  4. Step 4: Simplify right side
    458,953.54x = 141,778,871,748.01
  5. Step 5: Solve for x
    x = 141,778,871,748.01/458,953.54
  6. Step 6: Final answer
    x = 308,917.70

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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.