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Finding the Fourth Proportional to 257,539.67, 386,415.80 and 139,071.50

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Solution

The fourth proportional to 257,539.67, 386,415.80 and 139,071.50 is: 208,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.67 : 386,415.80 = 139,071.50 : x
  2. Step 2: Convert to fraction form
    257,539.67/386,415.80 = 139,071.50/x
  3. Step 3: Cross multiply
    257,539.67x = 386,415.80 × 139,071.50
  4. Step 4: Simplify right side
    257,539.67x = 53,739,424,234.34
  5. Step 5: Solve for x
    x = 53,739,424,234.34/257,539.67
  6. Step 6: Final answer
    x = 208,664.65

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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.