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Finding the Fourth Proportional to 278,307.98, 384,065.17 and 150,983.56

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Solution

The fourth proportional to 278,307.98, 384,065.17 and 150,983.56 is: 208,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307.98 : 384,065.17 = 150,983.56 : x
  2. Step 2: Convert to fraction form
    278,307.98/384,065.17 = 150,983.56/x
  3. Step 3: Cross multiply
    278,307.98x = 384,065.17 × 150,983.56
  4. Step 4: Simplify right side
    278,307.98x = 57,987,525,883.69
  5. Step 5: Solve for x
    x = 57,987,525,883.69/278,307.98
  6. Step 6: Final answer
    x = 208,357.40

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1.5x scale

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.