Finding the Fourth Proportional to 307,423,905.20, 461,135,857.80 and 277,769,497.40
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Solution
The fourth proportional to 307,423,905.20, 461,135,857.80 and 277,769,497.40 is: 416,654,246.10
Step by Step Solution
- Step 1: Write the proportion equation
307,423,905.20 : 461,135,857.80 = 277,769,497.40 : x - Step 2: Convert to fraction form
307,423,905.20/461,135,857.80 = 277,769,497.40/x - Step 3: Cross multiply
307,423,905.20x = 461,135,857.80 × 277,769,497.40 - Step 4: Simplify right side
307,423,905.20x = 128,089,475,454,223,856 - Step 5: Solve for x
x = 128,089,475,454,223,856/307,423,905.20 - Step 6: Final answer
x = 416,654,246.10
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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.