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Finding the Fourth Proportional to 460,296, 690,452.64 and 127,880.64

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Solution

The fourth proportional to 460,296, 690,452.64 and 127,880.64 is: 191,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,296 : 690,452.64 = 127,880.64 : x
  2. Step 2: Convert to fraction form
    460,296/690,452.64 = 127,880.64/x
  3. Step 3: Cross multiply
    460,296x = 690,452.64 × 127,880.64
  4. Step 4: Simplify right side
    460,296x = 88,295,525,492.89
  5. Step 5: Solve for x
    x = 88,295,525,492.89/460,296
  6. Step 6: Final answer
    x = 191,823.36

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1.5x scale

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.