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Finding the Fourth Proportional to 289,497.88, 399,702.10 and 180,767.80

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Solution

The fourth proportional to 289,497.88, 399,702.10 and 180,767.80 is: 249,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,497.88 : 399,702.10 = 180,767.80 : x
  2. Step 2: Convert to fraction form
    289,497.88/399,702.10 = 180,767.80/x
  3. Step 3: Cross multiply
    289,497.88x = 399,702.10 × 180,767.80
  4. Step 4: Simplify right side
    289,497.88x = 72,253,269,272.38
  5. Step 5: Solve for x
    x = 72,253,269,272.38/289,497.88
  6. Step 6: Final answer
    x = 249,581.34

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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.