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Finding the Fourth Proportional to 266,970.78, 368,414.76 and 146,109.66

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Solution

The fourth proportional to 266,970.78, 368,414.76 and 146,109.66 is: 201,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,970.78 : 368,414.76 = 146,109.66 : x
  2. Step 2: Convert to fraction form
    266,970.78/368,414.76 = 146,109.66/x
  3. Step 3: Cross multiply
    266,970.78x = 368,414.76 × 146,109.66
  4. Step 4: Simplify right side
    266,970.78x = 53,828,955,322.58
  5. Step 5: Solve for x
    x = 53,828,955,322.58/266,970.78
  6. Step 6: Final answer
    x = 201,628.64

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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.