Finding the Fourth Proportional to 897,268,816.80, 1,345,903,225.20 and 413,539,408.80
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Solution
The fourth proportional to 897,268,816.80, 1,345,903,225.20 and 413,539,408.80 is: 620,309,113.20
Step by Step Solution
- Step 1: Write the proportion equation
897,268,816.80 : 1,345,903,225.20 = 413,539,408.80 : x - Step 2: Convert to fraction form
897,268,816.80/1,345,903,225.20 = 413,539,408.80/x - Step 3: Cross multiply
897,268,816.80x = 1,345,903,225.20 × 413,539,408.80 - Step 4: Simplify right side
897,268,816.80x = 556,584,024,051,221,312 - Step 5: Solve for x
x = 556,584,024,051,221,312/897,268,816.80 - Step 6: Final answer
x = 620,309,113.20
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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.