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Finding the Fourth Proportional to 460,300, 690,458.64 and 127,884.64

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Solution

The fourth proportional to 460,300, 690,458.64 and 127,884.64 is: 191,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,300 : 690,458.64 = 127,884.64 : x
  2. Step 2: Convert to fraction form
    460,300/690,458.64 = 127,884.64/x
  3. Step 3: Cross multiply
    460,300x = 690,458.64 × 127,884.64
  4. Step 4: Simplify right side
    460,300x = 88,299,054,611.29
  5. Step 5: Solve for x
    x = 88,299,054,611.29/460,300
  6. Step 6: Final answer
    x = 191,829.36

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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.