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Finding the Fourth Proportional to 278,763.04, 384,702.78 and 157,907.80

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Solution

The fourth proportional to 278,763.04, 384,702.78 and 157,907.80 is: 217,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,763.04 : 384,702.78 = 157,907.80 : x
  2. Step 2: Convert to fraction form
    278,763.04/384,702.78 = 157,907.80/x
  3. Step 3: Cross multiply
    278,763.04x = 384,702.78 × 157,907.80
  4. Step 4: Simplify right side
    278,763.04x = 60,747,569,643.68
  5. Step 5: Solve for x
    x = 60,747,569,643.68/278,763.04
  6. Step 6: Final answer
    x = 217,918.31

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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.