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Finding the Fourth Proportional to 354,924, 489,838.05 and 201,999.35

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Solution

The fourth proportional to 354,924, 489,838.05 and 201,999.35 is: 278,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,924 : 489,838.05 = 201,999.35 : x
  2. Step 2: Convert to fraction form
    354,924/489,838.05 = 201,999.35/x
  3. Step 3: Cross multiply
    354,924x = 489,838.05 × 201,999.35
  4. Step 4: Simplify right side
    354,924x = 98,946,965,256.08
  5. Step 5: Solve for x
    x = 98,946,965,256.08/354,924
  6. Step 6: Final answer
    x = 278,783.53

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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.