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Finding the Fourth Proportional to 282,617.60, 424,617.60 and 212,633.60

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Solution

The fourth proportional to 282,617.60, 424,617.60 and 212,633.60 is: 319,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,617.60 : 424,617.60 = 212,633.60 : x
  2. Step 2: Convert to fraction form
    282,617.60/424,617.60 = 212,633.60/x
  3. Step 3: Cross multiply
    282,617.60x = 424,617.60 × 212,633.60
  4. Step 4: Simplify right side
    282,617.60x = 90,287,968,911.36
  5. Step 5: Solve for x
    x = 90,287,968,911.36/282,617.60
  6. Step 6: Final answer
    x = 319,470.44

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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.