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Finding the Fourth Proportional to 538,209.91, 743,485.12 and 509,866.39

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Solution

The fourth proportional to 538,209.91, 743,485.12 and 509,866.39 is: 704,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,209.91 : 743,485.12 = 509,866.39 : x
  2. Step 2: Convert to fraction form
    538,209.91/743,485.12 = 509,866.39/x
  3. Step 3: Cross multiply
    538,209.91x = 743,485.12 × 509,866.39
  4. Step 4: Simplify right side
    538,209.91x = 379,078,074,153.12
  5. Step 5: Solve for x
    x = 379,078,074,153.12/538,209.91
  6. Step 6: Final answer
    x = 704,331.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.