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Finding the Fourth Proportional to 431,915.64, 596,006.19 and 278,960.49

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Solution

The fourth proportional to 431,915.64, 596,006.19 and 278,960.49 is: 384,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,915.64 : 596,006.19 = 278,960.49 : x
  2. Step 2: Convert to fraction form
    431,915.64/596,006.19 = 278,960.49/x
  3. Step 3: Cross multiply
    431,915.64x = 596,006.19 × 278,960.49
  4. Step 4: Simplify right side
    431,915.64x = 166,262,178,805.43
  5. Step 5: Solve for x
    x = 166,262,178,805.43/431,915.64
  6. Step 6: Final answer
    x = 384,941.33

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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.