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Finding the Fourth Proportional to 354,455.71, 489,178.01 and 201,541.89

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Solution

The fourth proportional to 354,455.71, 489,178.01 and 201,541.89 is: 278,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,455.71 : 489,178.01 = 201,541.89 : x
  2. Step 2: Convert to fraction form
    354,455.71/489,178.01 = 201,541.89/x
  3. Step 3: Cross multiply
    354,455.71x = 489,178.01 × 201,541.89
  4. Step 4: Simplify right side
    354,455.71x = 98,589,860,681.84
  5. Step 5: Solve for x
    x = 98,589,860,681.84/354,455.71
  6. Step 6: Final answer
    x = 278,144.37

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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.