Finding the Fourth Proportional to 778,285,484,282.72, 1,167,604,260,678.50 and 420,129,770,421.40
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Solution
The fourth proportional to 778,285,484,282.72, 1,167,604,260,678.50 and 420,129,770,421.40 is: 630,289,681,470.81
Step by Step Solution
- Step 1: Write the proportion equation
778,285,484,282.72 : 1,167,604,260,678.50 = 420,129,770,421.40 : x - Step 2: Convert to fraction form
778,285,484,282.72/1,167,604,260,678.50 = 420,129,770,421.40/x - Step 3: Cross multiply
778,285,484,282.72x = 1,167,604,260,678.50 × 420,129,770,421.40 - Step 4: Simplify right side
778,285,484,282.72x = 490,545,309,981,906,737,037,312 - Step 5: Solve for x
x = 490,545,309,981,906,737,037,312/778,285,484,282.72 - Step 6: Final answer
x = 630,289,681,470.81
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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.