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Finding the Fourth Proportional to 655,403.80, 983,138.10 and 340,475.80

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Solution

The fourth proportional to 655,403.80, 983,138.10 and 340,475.80 is: 510,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,403.80 : 983,138.10 = 340,475.80 : x
  2. Step 2: Convert to fraction form
    655,403.80/983,138.10 = 340,475.80/x
  3. Step 3: Cross multiply
    655,403.80x = 983,138.10 × 340,475.80
  4. Step 4: Simplify right side
    655,403.80x = 334,734,731,107.98
  5. Step 5: Solve for x
    x = 334,734,731,107.98/655,403.80
  6. Step 6: Final answer
    x = 510,730.53

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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.