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Finding the Fourth Proportional to 257,539.42, 386,415.42 and 139,071.25

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Solution

The fourth proportional to 257,539.42, 386,415.42 and 139,071.25 is: 208,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.42 : 386,415.42 = 139,071.25 : x
  2. Step 2: Convert to fraction form
    257,539.42/386,415.42 = 139,071.25/x
  3. Step 3: Cross multiply
    257,539.42x = 386,415.42 × 139,071.25
  4. Step 4: Simplify right side
    257,539.42x = 53,739,275,478.68
  5. Step 5: Solve for x
    x = 53,739,275,478.68/257,539.42
  6. Step 6: Final answer
    x = 208,664.27

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1.5x scale

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.