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Finding the Fourth Proportional to 504,638.40, 696,398.66 and 278,283.90

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Solution

The fourth proportional to 504,638.40, 696,398.66 and 278,283.90 is: 384,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,638.40 : 696,398.66 = 278,283.90 : x
  2. Step 2: Convert to fraction form
    504,638.40/696,398.66 = 278,283.90/x
  3. Step 3: Cross multiply
    504,638.40x = 696,398.66 × 278,283.90
  4. Step 4: Simplify right side
    504,638.40x = 193,796,538,888.56
  5. Step 5: Solve for x
    x = 193,796,538,888.56/504,638.40
  6. Step 6: Final answer
    x = 384,030.50

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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.