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Finding the Fourth Proportional to 563,675.22, 845,435.07 and 311,421.78

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Solution

The fourth proportional to 563,675.22, 845,435.07 and 311,421.78 is: 467,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,675.22 : 845,435.07 = 311,421.78 : x
  2. Step 2: Convert to fraction form
    563,675.22/845,435.07 = 311,421.78/x
  3. Step 3: Cross multiply
    563,675.22x = 845,435.07 × 311,421.78
  4. Step 4: Simplify right side
    563,675.22x = 263,286,894,373.83
  5. Step 5: Solve for x
    x = 263,286,894,373.83/563,675.22
  6. Step 6: Final answer
    x = 467,089.71

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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.