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Finding the Fourth Proportional to 257,410.34, 355,226.38 and 156,808.34

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Solution

The fourth proportional to 257,410.34, 355,226.38 and 156,808.34 is: 216,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.34 : 355,226.38 = 156,808.34 : x
  2. Step 2: Convert to fraction form
    257,410.34/355,226.38 = 156,808.34/x
  3. Step 3: Cross multiply
    257,410.34x = 355,226.38 × 156,808.34
  4. Step 4: Simplify right side
    257,410.34x = 55,702,458,972.01
  5. Step 5: Solve for x
    x = 55,702,458,972.01/257,410.34
  6. Step 6: Final answer
    x = 216,395.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.