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Finding the Fourth Proportional to 458,751.90, 687,848.40 and 205,983.30

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Solution

The fourth proportional to 458,751.90, 687,848.40 and 205,983.30 is: 308,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,751.90 : 687,848.40 = 205,983.30 : x
  2. Step 2: Convert to fraction form
    458,751.90/687,848.40 = 205,983.30/x
  3. Step 3: Cross multiply
    458,751.90x = 687,848.40 × 205,983.30
  4. Step 4: Simplify right side
    458,751.90x = 141,685,283,331.72
  5. Step 5: Solve for x
    x = 141,685,283,331.72/458,751.90
  6. Step 6: Final answer
    x = 308,849.47

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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.