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Finding the Fourth Proportional to 296,946, 445,493.28 and 86,583.94

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Solution

The fourth proportional to 296,946, 445,493.28 and 86,583.94 is: 129,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,946 : 445,493.28 = 86,583.94 : x
  2. Step 2: Convert to fraction form
    296,946/445,493.28 = 86,583.94/x
  3. Step 3: Cross multiply
    296,946x = 445,493.28 × 86,583.94
  4. Step 4: Simplify right side
    296,946x = 38,572,562,636.88
  5. Step 5: Solve for x
    x = 38,572,562,636.88/296,946
  6. Step 6: Final answer
    x = 129,897.57

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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.