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Finding the Fourth Proportional to 321,302.09, 482,085.47 and 141,294.98

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Solution

The fourth proportional to 321,302.09, 482,085.47 and 141,294.98 is: 212,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302.09 : 482,085.47 = 141,294.98 : x
  2. Step 2: Convert to fraction form
    321,302.09/482,085.47 = 141,294.98/x
  3. Step 3: Cross multiply
    321,302.09x = 482,085.47 × 141,294.98
  4. Step 4: Simplify right side
    321,302.09x = 68,116,258,400.39
  5. Step 5: Solve for x
    x = 68,116,258,400.39/321,302.09
  6. Step 6: Final answer
    x = 212,000.67

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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.