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Finding the Fourth Proportional to 504,368, 696,027.84 and 278,018.40

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Solution

The fourth proportional to 504,368, 696,027.84 and 278,018.40 is: 383,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,368 : 696,027.84 = 278,018.40 : x
  2. Step 2: Convert to fraction form
    504,368/696,027.84 = 278,018.40/x
  3. Step 3: Cross multiply
    504,368x = 696,027.84 × 278,018.40
  4. Step 4: Simplify right side
    504,368x = 193,508,546,432.26
  5. Step 5: Solve for x
    x = 193,508,546,432.26/504,368
  6. Step 6: Final answer
    x = 383,665.39

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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.