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Finding the Fourth Proportional to 421,029.88, 581,014.45 and 230,039.17

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Solution

The fourth proportional to 421,029.88, 581,014.45 and 230,039.17 is: 317,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.88 : 581,014.45 = 230,039.17 : x
  2. Step 2: Convert to fraction form
    421,029.88/581,014.45 = 230,039.17/x
  3. Step 3: Cross multiply
    421,029.88x = 581,014.45 × 230,039.17
  4. Step 4: Simplify right side
    421,029.88x = 133,656,080,671.02
  5. Step 5: Solve for x
    x = 133,656,080,671.02/421,029.88
  6. Step 6: Final answer
    x = 317,450.35

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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.