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Finding the Fourth Proportional to 354,602.80, 489,349.54 and 201,641.01

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Solution

The fourth proportional to 354,602.80, 489,349.54 and 201,641.01 is: 278,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,602.80 : 489,349.54 = 201,641.01 : x
  2. Step 2: Convert to fraction form
    354,602.80/489,349.54 = 201,641.01/x
  3. Step 3: Cross multiply
    354,602.80x = 489,349.54 × 201,641.01
  4. Step 4: Simplify right side
    354,602.80x = 98,672,934,480.43
  5. Step 5: Solve for x
    x = 98,672,934,480.43/354,602.80
  6. Step 6: Final answer
    x = 278,263.27

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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.