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Finding the Fourth Proportional to 341,968, 512,675.28 and 142,438.28

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Solution

The fourth proportional to 341,968, 512,675.28 and 142,438.28 is: 213,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,968 : 512,675.28 = 142,438.28 : x
  2. Step 2: Convert to fraction form
    341,968/512,675.28 = 142,438.28/x
  3. Step 3: Cross multiply
    341,968x = 512,675.28 × 142,438.28
  4. Step 4: Simplify right side
    341,968x = 73,024,585,081.72
  5. Step 5: Solve for x
    x = 73,024,585,081.72/341,968
  6. Step 6: Final answer
    x = 213,542.16

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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.