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Finding the Fourth Proportional to 296,640.40, 445,106.40 and 138,841.60

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Solution

The fourth proportional to 296,640.40, 445,106.40 and 138,841.60 is: 208,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,640.40 : 445,106.40 = 138,841.60 : x
  2. Step 2: Convert to fraction form
    296,640.40/445,106.40 = 138,841.60/x
  3. Step 3: Cross multiply
    296,640.40x = 445,106.40 × 138,841.60
  4. Step 4: Simplify right side
    296,640.40x = 61,799,284,746.24
  5. Step 5: Solve for x
    x = 61,799,284,746.24/296,640.40
  6. Step 6: Final answer
    x = 208,330.64

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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.