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Finding the Fourth Proportional to 504,978.06, 696,884.32 and 278,638.14

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Solution

The fourth proportional to 504,978.06, 696,884.32 and 278,638.14 is: 384,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,978.06 : 696,884.32 = 278,638.14 : x
  2. Step 2: Convert to fraction form
    504,978.06/696,884.32 = 278,638.14/x
  3. Step 3: Cross multiply
    504,978.06x = 696,884.32 × 278,638.14
  4. Step 4: Simplify right side
    504,978.06x = 194,178,550,719.97
  5. Step 5: Solve for x
    x = 194,178,550,719.97/504,978.06
  6. Step 6: Final answer
    x = 384,528.69

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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.