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Finding the Fourth Proportional to 257,412.90, 355,232.16 and 142,692.78

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Solution

The fourth proportional to 257,412.90, 355,232.16 and 142,692.78 is: 196,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.90 : 355,232.16 = 142,692.78 : x
  2. Step 2: Convert to fraction form
    257,412.90/355,232.16 = 142,692.78/x
  3. Step 3: Cross multiply
    257,412.90x = 355,232.16 × 142,692.78
  4. Step 4: Simplify right side
    257,412.90x = 50,689,064,455.80
  5. Step 5: Solve for x
    x = 50,689,064,455.80/257,412.90
  6. Step 6: Final answer
    x = 196,917.34

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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.