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Finding the Fourth Proportional to 408,270.16, 612,784.32 and 208,733.14

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Solution

The fourth proportional to 408,270.16, 612,784.32 and 208,733.14 is: 313,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,270.16 : 612,784.32 = 208,733.14 : x
  2. Step 2: Convert to fraction form
    408,270.16/612,784.32 = 208,733.14/x
  3. Step 3: Cross multiply
    408,270.16x = 612,784.32 × 208,733.14
  4. Step 4: Simplify right side
    408,270.16x = 127,908,395,256.37
  5. Step 5: Solve for x
    x = 127,908,395,256.37/408,270.16
  6. Step 6: Final answer
    x = 313,293.52

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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.