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Finding the Fourth Proportional to 511,732.98, 767,271 and 212,420.16

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Solution

The fourth proportional to 511,732.98, 767,271 and 212,420.16 is: 318,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,732.98 : 767,271 = 212,420.16 : x
  2. Step 2: Convert to fraction form
    511,732.98/767,271 = 212,420.16/x
  3. Step 3: Cross multiply
    511,732.98x = 767,271 × 212,420.16
  4. Step 4: Simplify right side
    511,732.98x = 162,983,828,583.36
  5. Step 5: Solve for x
    x = 162,983,828,583.36/511,732.98
  6. Step 6: Final answer
    x = 318,493.89

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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.