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Finding the Fourth Proportional to 611,419.30, 917,258.55 and 184,920.10

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Solution

The fourth proportional to 611,419.30, 917,258.55 and 184,920.10 is: 277,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,419.30 : 917,258.55 = 184,920.10 : x
  2. Step 2: Convert to fraction form
    611,419.30/917,258.55 = 184,920.10/x
  3. Step 3: Cross multiply
    611,419.30x = 917,258.55 × 184,920.10
  4. Step 4: Simplify right side
    611,419.30x = 169,619,542,791.86
  5. Step 5: Solve for x
    x = 169,619,542,791.86/611,419.30
  6. Step 6: Final answer
    x = 277,419.35

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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.