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Finding the Fourth Proportional to 475,643.04, 713,468.88 and 205,720.80

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Solution

The fourth proportional to 475,643.04, 713,468.88 and 205,720.80 is: 308,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,643.04 : 713,468.88 = 205,720.80 : x
  2. Step 2: Convert to fraction form
    475,643.04/713,468.88 = 205,720.80/x
  3. Step 3: Cross multiply
    475,643.04x = 713,468.88 × 205,720.80
  4. Step 4: Simplify right side
    475,643.04x = 146,775,388,768.70
  5. Step 5: Solve for x
    x = 146,775,388,768.70/475,643.04
  6. Step 6: Final answer
    x = 308,583.07

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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.