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Finding the Fourth Proportional to 458,695.49, 686,995.70 and 218,978.01

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Solution

The fourth proportional to 458,695.49, 686,995.70 and 218,978.01 is: 327,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,695.49 : 686,995.70 = 218,978.01 : x
  2. Step 2: Convert to fraction form
    458,695.49/686,995.70 = 218,978.01/x
  3. Step 3: Cross multiply
    458,695.49x = 686,995.70 × 218,978.01
  4. Step 4: Simplify right side
    458,695.49x = 150,436,950,169.67
  5. Step 5: Solve for x
    x = 150,436,950,169.67/458,695.49
  6. Step 6: Final answer
    x = 327,966.93

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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.