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Finding the Fourth Proportional to 512,021.40, 768,032.10 and 362,430.60

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Solution

The fourth proportional to 512,021.40, 768,032.10 and 362,430.60 is: 543,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,021.40 : 768,032.10 = 362,430.60 : x
  2. Step 2: Convert to fraction form
    512,021.40/768,032.10 = 362,430.60/x
  3. Step 3: Cross multiply
    512,021.40x = 768,032.10 × 362,430.60
  4. Step 4: Simplify right side
    512,021.40x = 278,358,334,822.26
  5. Step 5: Solve for x
    x = 278,358,334,822.26/512,021.40
  6. Step 6: Final answer
    x = 543,645.90

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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.