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Finding the Fourth Proportional to 314,118.64, 471,182.96 and 77,461.40

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Solution

The fourth proportional to 314,118.64, 471,182.96 and 77,461.40 is: 116,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,118.64 : 471,182.96 = 77,461.40 : x
  2. Step 2: Convert to fraction form
    314,118.64/471,182.96 = 77,461.40/x
  3. Step 3: Cross multiply
    314,118.64x = 471,182.96 × 77,461.40
  4. Step 4: Simplify right side
    314,118.64x = 36,498,491,737.74
  5. Step 5: Solve for x
    x = 36,498,491,737.74/314,118.64
  6. Step 6: Final answer
    x = 116,193.33

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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.