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Finding the Fourth Proportional to 461,619.48, 692,506.98 and 212,295

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Solution

The fourth proportional to 461,619.48, 692,506.98 and 212,295 is: 318,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,619.48 : 692,506.98 = 212,295 : x
  2. Step 2: Convert to fraction form
    461,619.48/692,506.98 = 212,295/x
  3. Step 3: Cross multiply
    461,619.48x = 692,506.98 × 212,295
  4. Step 4: Simplify right side
    461,619.48x = 147,015,769,319.10
  5. Step 5: Solve for x
    x = 147,015,769,319.10/461,619.48
  6. Step 6: Final answer
    x = 318,478.26

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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.