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Finding the Fourth Proportional to 301,234.85, 451,537 and 101,486.21

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Solution

The fourth proportional to 301,234.85, 451,537 and 101,486.21 is: 152,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,234.85 : 451,537 = 101,486.21 : x
  2. Step 2: Convert to fraction form
    301,234.85/451,537 = 101,486.21/x
  3. Step 3: Cross multiply
    301,234.85x = 451,537 × 101,486.21
  4. Step 4: Simplify right side
    301,234.85x = 45,824,778,804.77
  5. Step 5: Solve for x
    x = 45,824,778,804.77/301,234.85
  6. Step 6: Final answer
    x = 152,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.