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Finding the Fourth Proportional to 504,500.40, 696,215.28 and 278,154

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Solution

The fourth proportional to 504,500.40, 696,215.28 and 278,154 is: 383,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,500.40 : 696,215.28 = 278,154 : x
  2. Step 2: Convert to fraction form
    504,500.40/696,215.28 = 278,154/x
  3. Step 3: Cross multiply
    504,500.40x = 696,215.28 × 278,154
  4. Step 4: Simplify right side
    504,500.40x = 193,655,064,993.12
  5. Step 5: Solve for x
    x = 193,655,064,993.12/504,500.40
  6. Step 6: Final answer
    x = 383,855.13

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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.