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Finding the Fourth Proportional to 257,095.20, 385,642.80 and 173,114.40

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Solution

The fourth proportional to 257,095.20, 385,642.80 and 173,114.40 is: 259,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,095.20 : 385,642.80 = 173,114.40 : x
  2. Step 2: Convert to fraction form
    257,095.20/385,642.80 = 173,114.40/x
  3. Step 3: Cross multiply
    257,095.20x = 385,642.80 × 173,114.40
  4. Step 4: Simplify right side
    257,095.20x = 66,760,321,936.32
  5. Step 5: Solve for x
    x = 66,760,321,936.32/257,095.20
  6. Step 6: Final answer
    x = 259,671.60

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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.