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Finding the Fourth Proportional to 321,915.99, 482,950.91 and 97,278.67

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Solution

The fourth proportional to 321,915.99, 482,950.91 and 97,278.67 is: 145,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,915.99 : 482,950.91 = 97,278.67 : x
  2. Step 2: Convert to fraction form
    321,915.99/482,950.91 = 97,278.67/x
  3. Step 3: Cross multiply
    321,915.99x = 482,950.91 × 97,278.67
  4. Step 4: Simplify right side
    321,915.99x = 46,980,822,200.09
  5. Step 5: Solve for x
    x = 46,980,822,200.09/321,915.99
  6. Step 6: Final answer
    x = 145,941.25

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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.