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Finding the Fourth Proportional to 257,410.80, 386,116.20 and 139,312.80

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Solution

The fourth proportional to 257,410.80, 386,116.20 and 139,312.80 is: 208,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.80 : 386,116.20 = 139,312.80 : x
  2. Step 2: Convert to fraction form
    257,410.80/386,116.20 = 139,312.80/x
  3. Step 3: Cross multiply
    257,410.80x = 386,116.20 × 139,312.80
  4. Step 4: Simplify right side
    257,410.80x = 53,790,928,947.36
  5. Step 5: Solve for x
    x = 53,790,928,947.36/257,410.80
  6. Step 6: Final answer
    x = 208,969.20

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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.