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Finding the Fourth Proportional to 266,117.80, 399,176.70 and 171,639.40

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Solution

The fourth proportional to 266,117.80, 399,176.70 and 171,639.40 is: 257,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,117.80 : 399,176.70 = 171,639.40 : x
  2. Step 2: Convert to fraction form
    266,117.80/399,176.70 = 171,639.40/x
  3. Step 3: Cross multiply
    266,117.80x = 399,176.70 × 171,639.40
  4. Step 4: Simplify right side
    266,117.80x = 68,514,449,281.98
  5. Step 5: Solve for x
    x = 68,514,449,281.98/266,117.80
  6. Step 6: Final answer
    x = 257,459.10

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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.