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Finding the Fourth Proportional to 211,784.64, 317,255.13 and 154,978.23

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Solution

The fourth proportional to 211,784.64, 317,255.13 and 154,978.23 is: 232,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784.64 : 317,255.13 = 154,978.23 : x
  2. Step 2: Convert to fraction form
    211,784.64/317,255.13 = 154,978.23/x
  3. Step 3: Cross multiply
    211,784.64x = 317,255.13 × 154,978.23
  4. Step 4: Simplify right side
    211,784.64x = 49,167,637,910.97
  5. Step 5: Solve for x
    x = 49,167,637,910.97/211,784.64
  6. Step 6: Final answer
    x = 232,158.66

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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.