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Finding the Fourth Proportional to 513,588.15, 770,323.91 and 198,018.63

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Solution

The fourth proportional to 513,588.15, 770,323.91 and 198,018.63 is: 297,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,588.15 : 770,323.91 = 198,018.63 : x
  2. Step 2: Convert to fraction form
    513,588.15/770,323.91 = 198,018.63/x
  3. Step 3: Cross multiply
    513,588.15x = 770,323.91 × 198,018.63
  4. Step 4: Simplify right side
    513,588.15x = 152,538,484,324.35
  5. Step 5: Solve for x
    x = 152,538,484,324.35/513,588.15
  6. Step 6: Final answer
    x = 297,005.46

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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.