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Finding the Fourth Proportional to 504,954, 696,851.10 and 278,614.08

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Solution

The fourth proportional to 504,954, 696,851.10 and 278,614.08 is: 384,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,954 : 696,851.10 = 278,614.08 : x
  2. Step 2: Convert to fraction form
    504,954/696,851.10 = 278,614.08/x
  3. Step 3: Cross multiply
    504,954x = 696,851.10 × 278,614.08
  4. Step 4: Simplify right side
    504,954x = 194,152,528,123.49
  5. Step 5: Solve for x
    x = 194,152,528,123.49/504,954
  6. Step 6: Final answer
    x = 384,495.48

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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.