Finding the Fourth Proportional to 1,413,430,225.08, 2,121,113,790.18 and 493,306,563.48
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Solution
The fourth proportional to 1,413,430,225.08, 2,121,113,790.18 and 493,306,563.48 is: 740,297,848.47
Step by Step Solution
- Step 1: Write the proportion equation
1,413,430,225.08 : 2,121,113,790.18 = 493,306,563.48 : x - Step 2: Convert to fraction form
1,413,430,225.08/2,121,113,790.18 = 493,306,563.48/x - Step 3: Cross multiply
1,413,430,225.08x = 2,121,113,790.18 × 493,306,563.48 - Step 4: Simplify right side
1,413,430,225.08x = 1,046,359,354,583,733,632 - Step 5: Solve for x
x = 1,046,359,354,583,733,632/1,413,430,225.08 - Step 6: Final answer
x = 740,297,848.47
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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.