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Finding the Fourth Proportional to 317,681.91, 476,417.13 and 128,093.31

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Solution

The fourth proportional to 317,681.91, 476,417.13 and 128,093.31 is: 192,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,681.91 : 476,417.13 = 128,093.31 : x
  2. Step 2: Convert to fraction form
    317,681.91/476,417.13 = 128,093.31/x
  3. Step 3: Cross multiply
    317,681.91x = 476,417.13 × 128,093.31
  4. Step 4: Simplify right side
    317,681.91x = 61,025,847,122.40
  5. Step 5: Solve for x
    x = 61,025,847,122.40/317,681.91
  6. Step 6: Final answer
    x = 192,097.33

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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.