Finding the Fourth Proportional to 567,122,355.20, 782,609,501.40 and 312,813,789.68
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Solution
The fourth proportional to 567,122,355.20, 782,609,501.40 and 312,813,789.68 is: 431,672,357.35
Step by Step Solution
- Step 1: Write the proportion equation
567,122,355.20 : 782,609,501.40 = 312,813,789.68 : x - Step 2: Convert to fraction form
567,122,355.20/782,609,501.40 = 312,813,789.68/x - Step 3: Cross multiply
567,122,355.20x = 782,609,501.40 × 312,813,789.68 - Step 4: Simplify right side
567,122,355.20x = 244,811,043,972,509,248 - Step 5: Solve for x
x = 244,811,043,972,509,248/567,122,355.20 - Step 6: Final answer
x = 431,672,357.35
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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.