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Finding the Fourth Proportional to 257,256.90, 354,895.98 and 166,642.98

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Solution

The fourth proportional to 257,256.90, 354,895.98 and 166,642.98 is: 229,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,256.90 : 354,895.98 = 166,642.98 : x
  2. Step 2: Convert to fraction form
    257,256.90/354,895.98 = 166,642.98/x
  3. Step 3: Cross multiply
    257,256.90x = 354,895.98 × 166,642.98
  4. Step 4: Simplify right side
    257,256.90x = 59,140,923,697.22
  5. Step 5: Solve for x
    x = 59,140,923,697.22/257,256.90
  6. Step 6: Final answer
    x = 229,890.52

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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.