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Finding the Fourth Proportional to 497,054.40, 744,998.40 and 212,744.40

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Solution

The fourth proportional to 497,054.40, 744,998.40 and 212,744.40 is: 318,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,054.40 : 744,998.40 = 212,744.40 : x
  2. Step 2: Convert to fraction form
    497,054.40/744,998.40 = 212,744.40/x
  3. Step 3: Cross multiply
    497,054.40x = 744,998.40 × 212,744.40
  4. Step 4: Simplify right side
    497,054.40x = 158,494,237,608.96
  5. Step 5: Solve for x
    x = 158,494,237,608.96/497,054.40
  6. Step 6: Final answer
    x = 318,866.98

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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.