Finding the Fourth Proportional to 400,750,140.21, 600,705,699.57 and 167,714,377.08
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Solution
The fourth proportional to 400,750,140.21, 600,705,699.57 and 167,714,377.08 is: 251,395,999.91
Step by Step Solution
- Step 1: Write the proportion equation
400,750,140.21 : 600,705,699.57 = 167,714,377.08 : x - Step 2: Convert to fraction form
400,750,140.21/600,705,699.57 = 167,714,377.08/x - Step 3: Cross multiply
400,750,140.21x = 600,705,699.57 × 167,714,377.08 - Step 4: Simplify right side
400,750,140.21x = 100,746,982,211,788,192 - Step 5: Solve for x
x = 100,746,982,211,788,192/400,750,140.21 - Step 6: Final answer
x = 251,395,999.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.