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Finding the Fourth Proportional to 543,019.77, 749,355.78 and 301,297.14

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Solution

The fourth proportional to 543,019.77, 749,355.78 and 301,297.14 is: 415,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,019.77 : 749,355.78 = 301,297.14 : x
  2. Step 2: Convert to fraction form
    543,019.77/749,355.78 = 301,297.14/x
  3. Step 3: Cross multiply
    543,019.77x = 749,355.78 × 301,297.14
  4. Step 4: Simplify right side
    543,019.77x = 225,778,753,356.47
  5. Step 5: Solve for x
    x = 225,778,753,356.47/543,019.77
  6. Step 6: Final answer
    x = 415,783.67

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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.