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Finding the Fourth Proportional to 317,790.56, 476,686.64 and 77,905.52

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Solution

The fourth proportional to 317,790.56, 476,686.64 and 77,905.52 is: 116,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,790.56 : 476,686.64 = 77,905.52 : x
  2. Step 2: Convert to fraction form
    317,790.56/476,686.64 = 77,905.52/x
  3. Step 3: Cross multiply
    317,790.56x = 476,686.64 × 77,905.52
  4. Step 4: Simplify right side
    317,790.56x = 37,136,520,566.25
  5. Step 5: Solve for x
    x = 37,136,520,566.25/317,790.56
  6. Step 6: Final answer
    x = 116,858.48

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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.