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Finding the Fourth Proportional to 655,711.88, 983,840.12 and 313,983.40

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Solution

The fourth proportional to 655,711.88, 983,840.12 and 313,983.40 is: 471,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,711.88 : 983,840.12 = 313,983.40 : x
  2. Step 2: Convert to fraction form
    655,711.88/983,840.12 = 313,983.40/x
  3. Step 3: Cross multiply
    655,711.88x = 983,840.12 × 313,983.40
  4. Step 4: Simplify right side
    655,711.88x = 308,909,465,934.01
  5. Step 5: Solve for x
    x = 308,909,465,934.01/655,711.88
  6. Step 6: Final answer
    x = 471,105.49

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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.