Finding the Fourth Proportional to 517,153,814.12, 713,687,406.86 and 282,219,612.68
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Solution
The fourth proportional to 517,153,814.12, 713,687,406.86 and 282,219,612.68 is: 389,471,329.49
Step by Step Solution
- Step 1: Write the proportion equation
517,153,814.12 : 713,687,406.86 = 282,219,612.68 : x - Step 2: Convert to fraction form
517,153,814.12/713,687,406.86 = 282,219,612.68/x - Step 3: Cross multiply
517,153,814.12x = 713,687,406.86 × 282,219,612.68 - Step 4: Simplify right side
517,153,814.12x = 201,416,583,538,622,784 - Step 5: Solve for x
x = 201,416,583,538,622,784/517,153,814.12 - Step 6: Final answer
x = 389,471,329.49
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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.