Finding the Fourth Proportional to 257,014,778.31, 385,742,305.35 and 255,080,198.07
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Solution
The fourth proportional to 257,014,778.31, 385,742,305.35 and 255,080,198.07 is: 382,838,777.99
Step by Step Solution
- Step 1: Write the proportion equation
257,014,778.31 : 385,742,305.35 = 255,080,198.07 : x - Step 2: Convert to fraction form
257,014,778.31/385,742,305.35 = 255,080,198.07/x - Step 3: Cross multiply
257,014,778.31x = 385,742,305.35 × 255,080,198.07 - Step 4: Simplify right side
257,014,778.31x = 98,395,223,652,656,416 - Step 5: Solve for x
x = 98,395,223,652,656,416/257,014,778.31 - Step 6: Final answer
x = 382,838,777.99
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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.