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Finding the Fourth Proportional to 421,393.47, 581,681.12 and 276,208.61

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Solution

The fourth proportional to 421,393.47, 581,681.12 and 276,208.61 is: 381,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.47 : 581,681.12 = 276,208.61 : x
  2. Step 2: Convert to fraction form
    421,393.47/581,681.12 = 276,208.61/x
  3. Step 3: Cross multiply
    421,393.47x = 581,681.12 × 276,208.61
  4. Step 4: Simplify right side
    421,393.47x = 160,665,331,400.56
  5. Step 5: Solve for x
    x = 160,665,331,400.56/421,393.47
  6. Step 6: Final answer
    x = 381,271.53

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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.