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Finding the Fourth Proportional to 257,275.44, 385,913.16 and 117,074.16

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Solution

The fourth proportional to 257,275.44, 385,913.16 and 117,074.16 is: 175,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,275.44 : 385,913.16 = 117,074.16 : x
  2. Step 2: Convert to fraction form
    257,275.44/385,913.16 = 117,074.16/x
  3. Step 3: Cross multiply
    257,275.44x = 385,913.16 × 117,074.16
  4. Step 4: Simplify right side
    257,275.44x = 45,180,459,039.95
  5. Step 5: Solve for x
    x = 45,180,459,039.95/257,275.44
  6. Step 6: Final answer
    x = 175,611.24

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.