Finding the Fourth Proportional to 778,285,484,283.68, 1,167,604,260,680 and 420,129,770,422.36
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Solution
The fourth proportional to 778,285,484,283.68, 1,167,604,260,680 and 420,129,770,422.36 is: 630,289,681,472.28
Step by Step Solution
- Step 1: Write the proportion equation
778,285,484,283.68 : 1,167,604,260,680 = 420,129,770,422.36 : x - Step 2: Convert to fraction form
778,285,484,283.68/1,167,604,260,680 = 420,129,770,422.36/x - Step 3: Cross multiply
778,285,484,283.68x = 1,167,604,260,680 × 420,129,770,422.36 - Step 4: Simplify right side
778,285,484,283.68x = 490,545,309,983,657,741,516,800 - Step 5: Solve for x
x = 490,545,309,983,657,741,516,800/778,285,484,283.68 - Step 6: Final answer
x = 630,289,681,472.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.