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Finding the Fourth Proportional to 211,116.94, 291,168.75 and 150,580.78

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Solution

The fourth proportional to 211,116.94, 291,168.75 and 150,580.78 is: 207,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,116.94 : 291,168.75 = 150,580.78 : x
  2. Step 2: Convert to fraction form
    211,116.94/291,168.75 = 150,580.78/x
  3. Step 3: Cross multiply
    211,116.94x = 291,168.75 × 150,580.78
  4. Step 4: Simplify right side
    211,116.94x = 43,844,417,486.63
  5. Step 5: Solve for x
    x = 43,844,417,486.63/211,116.94
  6. Step 6: Final answer
    x = 207,678.35

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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.