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Finding the Fourth Proportional to 404,740.26, 607,483.80 and 205,200

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Solution

The fourth proportional to 404,740.26, 607,483.80 and 205,200 is: 307,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,740.26 : 607,483.80 = 205,200 : x
  2. Step 2: Convert to fraction form
    404,740.26/607,483.80 = 205,200/x
  3. Step 3: Cross multiply
    404,740.26x = 607,483.80 × 205,200
  4. Step 4: Simplify right side
    404,740.26x = 124,655,675,760.00
  5. Step 5: Solve for x
    x = 124,655,675,760.00/404,740.26
  6. Step 6: Final answer
    x = 307,989.32

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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.