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Finding the Fourth Proportional to 257,462.89, 386,141.54 and 97,483.63

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Solution

The fourth proportional to 257,462.89, 386,141.54 and 97,483.63 is: 146,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,462.89 : 386,141.54 = 97,483.63 : x
  2. Step 2: Convert to fraction form
    257,462.89/386,141.54 = 97,483.63/x
  3. Step 3: Cross multiply
    257,462.89x = 386,141.54 × 97,483.63
  4. Step 4: Simplify right side
    257,462.89x = 37,642,479,012.99
  5. Step 5: Solve for x
    x = 37,642,479,012.99/257,462.89
  6. Step 6: Final answer
    x = 146,205.46

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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.