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Finding the Fourth Proportional to 278,012.98, 383,653.74 and 157,150.00

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Solution

The fourth proportional to 278,012.98, 383,653.74 and 157,150.00 is: 216,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012.98 : 383,653.74 = 157,150.00 : x
  2. Step 2: Convert to fraction form
    278,012.98/383,653.74 = 157,150.00/x
  3. Step 3: Cross multiply
    278,012.98x = 383,653.74 × 157,150.00
  4. Step 4: Simplify right side
    278,012.98x = 60,291,184,871.18
  5. Step 5: Solve for x
    x = 60,291,184,871.18/278,012.98
  6. Step 6: Final answer
    x = 216,864.64

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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.