Finding the Fourth Proportional to 1,427,332,784.19, 2,141,113,624.74 and 542,442,070.14
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Solution
The fourth proportional to 1,427,332,784.19, 2,141,113,624.74 and 542,442,070.14 is: 813,706,600.08
Step by Step Solution
- Step 1: Write the proportion equation
1,427,332,784.19 : 2,141,113,624.74 = 542,442,070.14 : x - Step 2: Convert to fraction form
1,427,332,784.19/2,141,113,624.74 = 542,442,070.14/x - Step 3: Cross multiply
1,427,332,784.19x = 2,141,113,624.74 × 542,442,070.14 - Step 4: Simplify right side
1,427,332,784.19x = 1,161,430,107,008,924,672 - Step 5: Solve for x
x = 1,161,430,107,008,924,672/1,427,332,784.19 - Step 6: Final answer
x = 813,706,600.08
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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.