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Finding the Fourth Proportional to 579,461.73, 869,431.74 and 312,908.34

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Solution

The fourth proportional to 579,461.73, 869,431.74 and 312,908.34 is: 469,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,461.73 : 869,431.74 = 312,908.34 : x
  2. Step 2: Convert to fraction form
    579,461.73/869,431.74 = 312,908.34/x
  3. Step 3: Cross multiply
    579,461.73x = 869,431.74 × 312,908.34
  4. Step 4: Simplify right side
    579,461.73x = 272,052,446,353.78
  5. Step 5: Solve for x
    x = 272,052,446,353.78/579,461.73
  6. Step 6: Final answer
    x = 469,491.66

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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.