Finding the Fourth Proportional to 1,026,374,078.14, 1,416,406,753.44 and 556,476,307.90
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Solution
The fourth proportional to 1,026,374,078.14, 1,416,406,753.44 and 556,476,307.90 is: 767,943,011.64
Step by Step Solution
- Step 1: Write the proportion equation
1,026,374,078.14 : 1,416,406,753.44 = 556,476,307.90 : x - Step 2: Convert to fraction form
1,026,374,078.14/1,416,406,753.44 = 556,476,307.90/x - Step 3: Cross multiply
1,026,374,078.14x = 1,416,406,753.44 × 556,476,307.90 - Step 4: Simplify right side
1,026,374,078.14x = 788,196,800,638,916,864 - Step 5: Solve for x
x = 788,196,800,638,916,864/1,026,374,078.14 - Step 6: Final answer
x = 767,943,011.64
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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.