Finding the Fourth Proportional to 415,820,218,153.08, 573,835,270,306.80 and 230,425,023,931.80
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Solution
The fourth proportional to 415,820,218,153.08, 573,835,270,306.80 and 230,425,023,931.80 is: 317,988,400,084.67
Step by Step Solution
- Step 1: Write the proportion equation
415,820,218,153.08 : 573,835,270,306.80 = 230,425,023,931.80 : x - Step 2: Convert to fraction form
415,820,218,153.08/573,835,270,306.80 = 230,425,023,931.80/x - Step 3: Cross multiply
415,820,218,153.08x = 573,835,270,306.80 × 230,425,023,931.80 - Step 4: Simplify right side
415,820,218,153.08x = 132,226,005,893,355,317,231,616 - Step 5: Solve for x
x = 132,226,005,893,355,317,231,616/415,820,218,153.08 - Step 6: Final answer
x = 317,988,400,084.67
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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.