Finding the Fourth Proportional to 278,468,181,496.99, 417,701,750,852.02 and 87,254,857,398.50
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Solution
The fourth proportional to 278,468,181,496.99, 417,701,750,852.02 and 87,254,857,398.50 is: 130,882,122,724.99
Step by Step Solution
- Step 1: Write the proportion equation
278,468,181,496.99 : 417,701,750,852.02 = 87,254,857,398.50 : x - Step 2: Convert to fraction form
278,468,181,496.99/417,701,750,852.02 = 87,254,857,398.50/x - Step 3: Cross multiply
278,468,181,496.99x = 417,701,750,852.02 × 87,254,857,398.50 - Step 4: Simplify right side
278,468,181,496.99x = 36,446,506,705,694,691,950,592 - Step 5: Solve for x
x = 36,446,506,705,694,691,950,592/278,468,181,496.99 - Step 6: Final answer
x = 130,882,122,724.99
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1.5x scale
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.