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Finding the Fourth Proportional to 354,657.60, 531,986.40 and 284,673.60

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Solution

The fourth proportional to 354,657.60, 531,986.40 and 284,673.60 is: 427,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,657.60 : 531,986.40 = 284,673.60 : x
  2. Step 2: Convert to fraction form
    354,657.60/531,986.40 = 284,673.60/x
  3. Step 3: Cross multiply
    354,657.60x = 531,986.40 × 284,673.60
  4. Step 4: Simplify right side
    354,657.60x = 151,442,483,639.04
  5. Step 5: Solve for x
    x = 151,442,483,639.04/354,657.60
  6. Step 6: Final answer
    x = 427,010.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.