Finding the Fourth Proportional to 458,198,206.08, 632,446,766.98 and 299,452,209.44
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Solution
The fourth proportional to 458,198,206.08, 632,446,766.98 and 299,452,209.44 is: 413,331,128.78
Step by Step Solution
- Step 1: Write the proportion equation
458,198,206.08 : 632,446,766.98 = 299,452,209.44 : x - Step 2: Convert to fraction form
458,198,206.08/632,446,766.98 = 299,452,209.44/x - Step 3: Cross multiply
458,198,206.08x = 632,446,766.98 × 299,452,209.44 - Step 4: Simplify right side
458,198,206.08x = 189,387,581,725,345,856 - Step 5: Solve for x
x = 189,387,581,725,345,856/458,198,206.08 - Step 6: Final answer
x = 413,331,128.78
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.