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Finding the Fourth Proportional to 257,477.96, 386,323.50 and 139,009.96

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Solution

The fourth proportional to 257,477.96, 386,323.50 and 139,009.96 is: 208,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,477.96 : 386,323.50 = 139,009.96 : x
  2. Step 2: Convert to fraction form
    257,477.96/386,323.50 = 139,009.96/x
  3. Step 3: Cross multiply
    257,477.96x = 386,323.50 × 139,009.96
  4. Step 4: Simplify right side
    257,477.96x = 53,702,814,282.06
  5. Step 5: Solve for x
    x = 53,702,814,282.06/257,477.96
  6. Step 6: Final answer
    x = 208,572.47

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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.