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Finding the Fourth Proportional to 286,254.84, 395,029.74 and 157,195.64

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Solution

The fourth proportional to 286,254.84, 395,029.74 and 157,195.64 is: 216,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,254.84 : 395,029.74 = 157,195.64 : x
  2. Step 2: Convert to fraction form
    286,254.84/395,029.74 = 157,195.64/x
  3. Step 3: Cross multiply
    286,254.84x = 395,029.74 × 157,195.64
  4. Step 4: Simplify right side
    286,254.84x = 62,096,952,798.33
  5. Step 5: Solve for x
    x = 62,096,952,798.33/286,254.84
  6. Step 6: Final answer
    x = 216,928.92

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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.