Finding the Fourth Proportional to 965,823,965.70, 1,448,924,905.35 and 413,125,325.70
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Solution
The fourth proportional to 965,823,965.70, 1,448,924,905.35 and 413,125,325.70 is: 619,768,813.67
Step by Step Solution
- Step 1: Write the proportion equation
965,823,965.70 : 1,448,924,905.35 = 413,125,325.70 : x - Step 2: Convert to fraction form
965,823,965.70/1,448,924,905.35 = 413,125,325.70/x - Step 3: Cross multiply
965,823,965.70x = 1,448,924,905.35 × 413,125,325.70 - Step 4: Simplify right side
965,823,965.70x = 598,587,573,437,560,320 - Step 5: Solve for x
x = 598,587,573,437,560,320/965,823,965.70 - Step 6: Final answer
x = 619,768,813.67
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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.