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Finding the Fourth Proportional to 289,795.51, 399,715.72 and 280,041.49

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Solution

The fourth proportional to 289,795.51, 399,715.72 and 280,041.49 is: 386,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,795.51 : 399,715.72 = 280,041.49 : x
  2. Step 2: Convert to fraction form
    289,795.51/399,715.72 = 280,041.49/x
  3. Step 3: Cross multiply
    289,795.51x = 399,715.72 × 280,041.49
  4. Step 4: Simplify right side
    289,795.51x = 111,936,985,805.22
  5. Step 5: Solve for x
    x = 111,936,985,805.22/289,795.51
  6. Step 6: Final answer
    x = 386,261.97

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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.