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Finding the Fourth Proportional to 497,015.40, 744,939.90 and 212,705.40

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Solution

The fourth proportional to 497,015.40, 744,939.90 and 212,705.40 is: 318,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,015.40 : 744,939.90 = 212,705.40 : x
  2. Step 2: Convert to fraction form
    497,015.40/744,939.90 = 212,705.40/x
  3. Step 3: Cross multiply
    497,015.40x = 744,939.90 × 212,705.40
  4. Step 4: Simplify right side
    497,015.40x = 158,452,739,405.46
  5. Step 5: Solve for x
    x = 158,452,739,405.46/497,015.40
  6. Step 6: Final answer
    x = 318,808.51

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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.