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Finding the Fourth Proportional to 421,465.54, 581,234.25 and 276,218.41

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Solution

The fourth proportional to 421,465.54, 581,234.25 and 276,218.41 is: 380,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,465.54 : 581,234.25 = 276,218.41 : x
  2. Step 2: Convert to fraction form
    421,465.54/581,234.25 = 276,218.41/x
  3. Step 3: Cross multiply
    421,465.54x = 581,234.25 × 276,218.41
  4. Step 4: Simplify right side
    421,465.54x = 160,547,601,884.76
  5. Step 5: Solve for x
    x = 160,547,601,884.76/421,465.54
  6. Step 6: Final answer
    x = 380,926.99

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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.