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Finding the Fourth Proportional to 460,690.20, 692,201.70 and 409,368.60

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Solution

The fourth proportional to 460,690.20, 692,201.70 and 409,368.60 is: 615,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.20 : 692,201.70 = 409,368.60 : x
  2. Step 2: Convert to fraction form
    460,690.20/692,201.70 = 409,368.60/x
  3. Step 3: Cross multiply
    460,690.20x = 692,201.70 × 409,368.60
  4. Step 4: Simplify right side
    460,690.20x = 283,365,640,846.62
  5. Step 5: Solve for x
    x = 283,365,640,846.62/460,690.20
  6. Step 6: Final answer
    x = 615,089.36

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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.