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Finding the Fourth Proportional to 282,631.60, 424,638.60 and 212,647.60

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Solution

The fourth proportional to 282,631.60, 424,638.60 and 212,647.60 is: 319,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,631.60 : 424,638.60 = 212,647.60 : x
  2. Step 2: Convert to fraction form
    282,631.60/424,638.60 = 212,647.60/x
  3. Step 3: Cross multiply
    282,631.60x = 424,638.60 × 212,647.60
  4. Step 4: Simplify right side
    282,631.60x = 90,298,379,157.36
  5. Step 5: Solve for x
    x = 90,298,379,157.36/282,631.60
  6. Step 6: Final answer
    x = 319,491.45

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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.