Finding the Fourth Proportional to 229,908,825.41, 317,689,199.16 and 163,714,403.31
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Solution
The fourth proportional to 229,908,825.41, 317,689,199.16 and 163,714,403.31 is: 226,221,405.75
Step by Step Solution
- Step 1: Write the proportion equation
229,908,825.41 : 317,689,199.16 = 163,714,403.31 : x - Step 2: Convert to fraction form
229,908,825.41/317,689,199.16 = 163,714,403.31/x - Step 3: Cross multiply
229,908,825.41x = 317,689,199.16 × 163,714,403.31 - Step 4: Simplify right side
229,908,825.41x = 52,010,297,678,735,880 - Step 5: Solve for x
x = 52,010,297,678,735,880/229,908,825.41 - Step 6: Final answer
x = 226,221,405.75
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.