Finding the Fourth Proportional to 813,427,203.74, 1,122,652,245.32 and 496,071,564.02
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Solution
The fourth proportional to 813,427,203.74, 1,122,652,245.32 and 496,071,564.02 is: 684,653,589.93
Step by Step Solution
- Step 1: Write the proportion equation
813,427,203.74 : 1,122,652,245.32 = 496,071,564.02 : x - Step 2: Convert to fraction form
813,427,203.74/1,122,652,245.32 = 496,071,564.02/x - Step 3: Cross multiply
813,427,203.74x = 1,122,652,245.32 × 496,071,564.02 - Step 4: Simplify right side
813,427,203.74x = 556,915,855,183,976,768 - Step 5: Solve for x
x = 556,915,855,183,976,768/813,427,203.74 - Step 6: Final answer
x = 684,653,589.93
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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.