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Finding the Fourth Proportional to 458,753.90, 687,851.40 and 205,985.30

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Solution

The fourth proportional to 458,753.90, 687,851.40 and 205,985.30 is: 308,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,753.90 : 687,851.40 = 205,985.30 : x
  2. Step 2: Convert to fraction form
    458,753.90/687,851.40 = 205,985.30/x
  3. Step 3: Cross multiply
    458,753.90x = 687,851.40 × 205,985.30
  4. Step 4: Simplify right side
    458,753.90x = 141,687,276,984.42
  5. Step 5: Solve for x
    x = 141,687,276,984.42/458,753.90
  6. Step 6: Final answer
    x = 308,852.47

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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.