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Finding the Fourth Proportional to 538,692.87, 806,043.35 and 431,752.47

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Solution

The fourth proportional to 538,692.87, 806,043.35 and 431,752.47 is: 646,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,692.87 : 806,043.35 = 431,752.47 : x
  2. Step 2: Convert to fraction form
    538,692.87/806,043.35 = 431,752.47/x
  3. Step 3: Cross multiply
    538,692.87x = 806,043.35 × 431,752.47
  4. Step 4: Simplify right side
    538,692.87x = 348,011,205,130.81
  5. Step 5: Solve for x
    x = 348,011,205,130.81/538,692.87
  6. Step 6: Final answer
    x = 646,028.98

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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.