Finding the Fourth Proportional to 420,282,957,818.18, 579,991,041,104.58 and 227,595,463,052.80
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Solution
The fourth proportional to 420,282,957,818.18, 579,991,041,104.58 and 227,595,463,052.80 is: 314,082,041,898.49
Step by Step Solution
- Step 1: Write the proportion equation
420,282,957,818.18 : 579,991,041,104.58 = 227,595,463,052.80 : x - Step 2: Convert to fraction form
420,282,957,818.18/579,991,041,104.58 = 227,595,463,052.80/x - Step 3: Cross multiply
420,282,957,818.18x = 579,991,041,104.58 × 227,595,463,052.80 - Step 4: Simplify right side
420,282,957,818.18x = 132,003,329,566,672,418,766,848 - Step 5: Solve for x
x = 132,003,329,566,672,418,766,848/420,282,957,818.18 - Step 6: Final answer
x = 314,082,041,898.49
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.