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Finding the Fourth Proportional to 505,009.40, 696,912.18 and 278,654.72

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Solution

The fourth proportional to 505,009.40, 696,912.18 and 278,654.72 is: 384,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,009.40 : 696,912.18 = 278,654.72 : x
  2. Step 2: Convert to fraction form
    505,009.40/696,912.18 = 278,654.72/x
  3. Step 3: Cross multiply
    505,009.40x = 696,912.18 × 278,654.72
  4. Step 4: Simplify right side
    505,009.40x = 194,197,868,382.49
  5. Step 5: Solve for x
    x = 194,197,868,382.49/505,009.40
  6. Step 6: Final answer
    x = 384,543.08

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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.