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Finding the Fourth Proportional to 257,733.84, 355,515.48 and 170,518.80

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Solution

The fourth proportional to 257,733.84, 355,515.48 and 170,518.80 is: 235,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,733.84 : 355,515.48 = 170,518.80 : x
  2. Step 2: Convert to fraction form
    257,733.84/355,515.48 = 170,518.80/x
  3. Step 3: Cross multiply
    257,733.84x = 355,515.48 × 170,518.80
  4. Step 4: Simplify right side
    257,733.84x = 60,622,073,031.02
  5. Step 5: Solve for x
    x = 60,622,073,031.02/257,733.84
  6. Step 6: Final answer
    x = 235,211.93

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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.