Finding the Fourth Proportional to 1,513,913,394.96, 2,270,854,948.68 and 478,774,452.24
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Solution
The fourth proportional to 1,513,913,394.96, 2,270,854,948.68 and 478,774,452.24 is: 718,156,889.15
Step by Step Solution
- Step 1: Write the proportion equation
1,513,913,394.96 : 2,270,854,948.68 = 478,774,452.24 : x - Step 2: Convert to fraction form
1,513,913,394.96/2,270,854,948.68 = 478,774,452.24/x - Step 3: Cross multiply
1,513,913,394.96x = 2,270,854,948.68 × 478,774,452.24 - Step 4: Simplify right side
1,513,913,394.96x = 1,087,227,334,170,760,192 - Step 5: Solve for x
x = 1,087,227,334,170,760,192/1,513,913,394.96 - Step 6: Final answer
x = 718,156,889.15
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.