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Finding the Fourth Proportional to 354,407.29, 489,094.32 and 201,451.89

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Solution

The fourth proportional to 354,407.29, 489,094.32 and 201,451.89 is: 278,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,407.29 : 489,094.32 = 201,451.89 : x
  2. Step 2: Convert to fraction form
    354,407.29/489,094.32 = 201,451.89/x
  3. Step 3: Cross multiply
    354,407.29x = 489,094.32 × 201,451.89
  4. Step 4: Simplify right side
    354,407.29x = 98,528,975,152.26
  5. Step 5: Solve for x
    x = 98,528,975,152.26/354,407.29
  6. Step 6: Final answer
    x = 278,010.58

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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.