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Finding the Fourth Proportional to 504,378, 696,056.49 and 278,038.08

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Solution

The fourth proportional to 504,378, 696,056.49 and 278,038.08 is: 383,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,378 : 696,056.49 = 278,038.08 : x
  2. Step 2: Convert to fraction form
    504,378/696,056.49 = 278,038.08/x
  3. Step 3: Cross multiply
    504,378x = 696,056.49 × 278,038.08
  4. Step 4: Simplify right side
    504,378x = 193,530,210,051.14
  5. Step 5: Solve for x
    x = 193,530,210,051.14/504,378
  6. Step 6: Final answer
    x = 383,700.74

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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.