Finding the Fourth Proportional to 513,181,369.20, 708,205,226.01 and 290,158,260.08
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Solution
The fourth proportional to 513,181,369.20, 708,205,226.01 and 290,158,260.08 is: 400,426,844.18
Step by Step Solution
- Step 1: Write the proportion equation
513,181,369.20 : 708,205,226.01 = 290,158,260.08 : x - Step 2: Convert to fraction form
513,181,369.20/708,205,226.01 = 290,158,260.08/x - Step 3: Cross multiply
513,181,369.20x = 708,205,226.01 × 290,158,260.08 - Step 4: Simplify right side
513,181,369.20x = 205,491,596,158,624,736 - Step 5: Solve for x
x = 205,491,596,158,624,736/513,181,369.20 - Step 6: Final answer
x = 400,426,844.18
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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.