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Finding the Fourth Proportional to 266,538.40, 367,813.00 and 145,678.70

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Solution

The fourth proportional to 266,538.40, 367,813.00 and 145,678.70 is: 201,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,538.40 : 367,813.00 = 145,678.70 : x
  2. Step 2: Convert to fraction form
    266,538.40/367,813.00 = 145,678.70/x
  3. Step 3: Cross multiply
    266,538.40x = 367,813.00 × 145,678.70
  4. Step 4: Simplify right side
    266,538.40x = 53,582,520,784.73
  5. Step 5: Solve for x
    x = 53,582,520,784.73/266,538.40
  6. Step 6: Final answer
    x = 201,031.15

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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.