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Finding the Fourth Proportional to 302,881.13, 417,978.71 and 166,919.93

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Solution

The fourth proportional to 302,881.13, 417,978.71 and 166,919.93 is: 230,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,881.13 : 417,978.71 = 166,919.93 : x
  2. Step 2: Convert to fraction form
    302,881.13/417,978.71 = 166,919.93/x
  3. Step 3: Cross multiply
    302,881.13x = 417,978.71 × 166,919.93
  4. Step 4: Simplify right side
    302,881.13x = 69,768,977,014.69
  5. Step 5: Solve for x
    x = 69,768,977,014.69/302,881.13
  6. Step 6: Final answer
    x = 230,351.02

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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.