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Finding the Fourth Proportional to 257,191.21, 354,915.84 and 142,465.24

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Solution

The fourth proportional to 257,191.21, 354,915.84 and 142,465.24 is: 196,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.21 : 354,915.84 = 142,465.24 : x
  2. Step 2: Convert to fraction form
    257,191.21/354,915.84 = 142,465.24/x
  3. Step 3: Cross multiply
    257,191.21x = 354,915.84 × 142,465.24
  4. Step 4: Simplify right side
    257,191.21x = 50,563,170,325.40
  5. Step 5: Solve for x
    x = 50,563,170,325.40/257,191.21
  6. Step 6: Final answer
    x = 196,597.58

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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.