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Finding the Fourth Proportional to 504,876.08, 696,680.50 and 278,507

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Solution

The fourth proportional to 504,876.08, 696,680.50 and 278,507 is: 384,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,876.08 : 696,680.50 = 278,507 : x
  2. Step 2: Convert to fraction form
    504,876.08/696,680.50 = 278,507/x
  3. Step 3: Cross multiply
    504,876.08x = 696,680.50 × 278,507
  4. Step 4: Simplify right side
    504,876.08x = 194,030,396,013.50
  5. Step 5: Solve for x
    x = 194,030,396,013.50/504,876.08
  6. Step 6: Final answer
    x = 384,312.91

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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.