Finding the Fourth Proportional to 1,098,734,500.98, 1,648,102,341.96 and 408,552,074.28
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Solution
The fourth proportional to 1,098,734,500.98, 1,648,102,341.96 and 408,552,074.28 is: 612,828,330.99
Step by Step Solution
- Step 1: Write the proportion equation
1,098,734,500.98 : 1,648,102,341.96 = 408,552,074.28 : x - Step 2: Convert to fraction form
1,098,734,500.98/1,648,102,341.96 = 408,552,074.28/x - Step 3: Cross multiply
1,098,734,500.98x = 1,648,102,341.96 × 408,552,074.28 - Step 4: Simplify right side
1,098,734,500.98x = 673,335,630,433,483,904 - Step 5: Solve for x
x = 673,335,630,433,483,904/1,098,734,500.98 - Step 6: Final answer
x = 612,828,330.99
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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.