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Finding the Fourth Proportional to 278,044, 383,698.56 and 150,716.32

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Solution

The fourth proportional to 278,044, 383,698.56 and 150,716.32 is: 207,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044 : 383,698.56 = 150,716.32 : x
  2. Step 2: Convert to fraction form
    278,044/383,698.56 = 150,716.32/x
  3. Step 3: Cross multiply
    278,044x = 383,698.56 × 150,716.32
  4. Step 4: Simplify right side
    278,044x = 57,829,634,952.50
  5. Step 5: Solve for x
    x = 57,829,634,952.50/278,044
  6. Step 6: Final answer
    x = 207,987.35

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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.