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Finding the Fourth Proportional to 431,731.80, 647,597.70 and 405,466.20

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Solution

The fourth proportional to 431,731.80, 647,597.70 and 405,466.20 is: 608,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,731.80 : 647,597.70 = 405,466.20 : x
  2. Step 2: Convert to fraction form
    431,731.80/647,597.70 = 405,466.20/x
  3. Step 3: Cross multiply
    431,731.80x = 647,597.70 × 405,466.20
  4. Step 4: Simplify right side
    431,731.80x = 262,578,978,547.74
  5. Step 5: Solve for x
    x = 262,578,978,547.74/431,731.80
  6. Step 6: Final answer
    x = 608,199.30

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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.