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Finding the Fourth Proportional to 278,683.90, 384,592.86 and 157,822.58

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Solution

The fourth proportional to 278,683.90, 384,592.86 and 157,822.58 is: 217,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,683.90 : 384,592.86 = 157,822.58 : x
  2. Step 2: Convert to fraction form
    278,683.90/384,592.86 = 157,822.58/x
  3. Step 3: Cross multiply
    278,683.90x = 384,592.86 × 157,822.58
  4. Step 4: Simplify right side
    278,683.90x = 60,697,438,376.26
  5. Step 5: Solve for x
    x = 60,697,438,376.26/278,683.90
  6. Step 6: Final answer
    x = 217,800.31

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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.