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Finding the Fourth Proportional to 317,439.84, 476,153.60 and 77,555.33

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Solution

The fourth proportional to 317,439.84, 476,153.60 and 77,555.33 is: 116,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,439.84 : 476,153.60 = 77,555.33 : x
  2. Step 2: Convert to fraction form
    317,439.84/476,153.60 = 77,555.33/x
  3. Step 3: Cross multiply
    317,439.84x = 476,153.60 × 77,555.33
  4. Step 4: Simplify right side
    317,439.84x = 36,928,246,810.14
  5. Step 5: Solve for x
    x = 36,928,246,810.14/317,439.84
  6. Step 6: Final answer
    x = 116,331.48

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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.