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Finding the Fourth Proportional to 257,284.69, 355,052.87 and 156,682.69

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Solution

The fourth proportional to 257,284.69, 355,052.87 and 156,682.69 is: 216,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,284.69 : 355,052.87 = 156,682.69 : x
  2. Step 2: Convert to fraction form
    257,284.69/355,052.87 = 156,682.69/x
  3. Step 3: Cross multiply
    257,284.69x = 355,052.87 × 156,682.69
  4. Step 4: Simplify right side
    257,284.69x = 55,630,637,680.33
  5. Step 5: Solve for x
    x = 55,630,637,680.33/257,284.69
  6. Step 6: Final answer
    x = 216,222.11

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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.