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Finding the Fourth Proportional to 314,352.36, 471,523.84 and 77,695

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Solution

The fourth proportional to 314,352.36, 471,523.84 and 77,695 is: 116,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,352.36 : 471,523.84 = 77,695 : x
  2. Step 2: Convert to fraction form
    314,352.36/471,523.84 = 77,695/x
  3. Step 3: Cross multiply
    314,352.36x = 471,523.84 × 77,695
  4. Step 4: Simplify right side
    314,352.36x = 36,635,044,748.80
  5. Step 5: Solve for x
    x = 36,635,044,748.80/314,352.36
  6. Step 6: Final answer
    x = 116,541.34

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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.