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Finding the Fourth Proportional to 511,808.34, 767,383.98 and 212,495.52

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Solution

The fourth proportional to 511,808.34, 767,383.98 and 212,495.52 is: 318,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,808.34 : 767,383.98 = 212,495.52 : x
  2. Step 2: Convert to fraction form
    511,808.34/767,383.98 = 212,495.52/x
  3. Step 3: Cross multiply
    511,808.34x = 767,383.98 × 212,495.52
  4. Step 4: Simplify right side
    511,808.34x = 163,065,657,869.77
  5. Step 5: Solve for x
    x = 163,065,657,869.77/511,808.34
  6. Step 6: Final answer
    x = 318,606.88

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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.