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Finding the Fourth Proportional to 384,117.20, 576,175.80 and 317,632.40

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Solution

The fourth proportional to 384,117.20, 576,175.80 and 317,632.40 is: 476,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,117.20 : 576,175.80 = 317,632.40 : x
  2. Step 2: Convert to fraction form
    384,117.20/576,175.80 = 317,632.40/x
  3. Step 3: Cross multiply
    384,117.20x = 576,175.80 × 317,632.40
  4. Step 4: Simplify right side
    384,117.20x = 183,012,102,175.92
  5. Step 5: Solve for x
    x = 183,012,102,175.92/384,117.20
  6. Step 6: Final answer
    x = 476,448.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.