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Finding the Fourth Proportional to 266,008.30, 399,271.65 and 133,038.70

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Solution

The fourth proportional to 266,008.30, 399,271.65 and 133,038.70 is: 199,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,008.30 : 399,271.65 = 133,038.70 : x
  2. Step 2: Convert to fraction form
    266,008.30/399,271.65 = 133,038.70/x
  3. Step 3: Cross multiply
    266,008.30x = 399,271.65 × 133,038.70
  4. Step 4: Simplify right side
    266,008.30x = 53,118,581,262.86
  5. Step 5: Solve for x
    x = 53,118,581,262.86/266,008.30
  6. Step 6: Final answer
    x = 199,687.68

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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.