Finding the Fourth Proportional to 310,743,346,927.08, 428,821,292,291.32 and 173,568,125,106.83
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Solution
The fourth proportional to 310,743,346,927.08, 428,821,292,291.32 and 173,568,125,106.83 is: 239,521,484,353.32
Step by Step Solution
- Step 1: Write the proportion equation
310,743,346,927.08 : 428,821,292,291.32 = 173,568,125,106.83 : x - Step 2: Convert to fraction form
310,743,346,927.08/428,821,292,291.32 = 173,568,125,106.83/x - Step 3: Cross multiply
310,743,346,927.08x = 428,821,292,291.32 × 173,568,125,106.83 - Step 4: Simplify right side
310,743,346,927.08x = 74,429,707,708,892,337,668,096 - Step 5: Solve for x
x = 74,429,707,708,892,337,668,096/310,743,346,927.08 - Step 6: Final answer
x = 239,521,484,353.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.