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Finding the Fourth Proportional to 289,640.76, 399,590.21 and 180,681.69

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Solution

The fourth proportional to 289,640.76, 399,590.21 and 180,681.69 is: 249,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.76 : 399,590.21 = 180,681.69 : x
  2. Step 2: Convert to fraction form
    289,640.76/399,590.21 = 180,681.69/x
  3. Step 3: Cross multiply
    289,640.76x = 399,590.21 × 180,681.69
  4. Step 4: Simplify right side
    289,640.76x = 72,198,634,450.25
  5. Step 5: Solve for x
    x = 72,198,634,450.25/289,640.76
  6. Step 6: Final answer
    x = 249,269.59

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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.