Finding the Fourth Proportional to 648,658,973,535.35, 972,307,357,506.60 and 218,246,630,497.15
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Solution
The fourth proportional to 648,658,973,535.35, 972,307,357,506.60 and 218,246,630,497.15 is: 327,140,783,124.99
Step by Step Solution
- Step 1: Write the proportion equation
648,658,973,535.35 : 972,307,357,506.60 = 218,246,630,497.15 : x - Step 2: Convert to fraction form
648,658,973,535.35/972,307,357,506.60 = 218,246,630,497.15/x - Step 3: Cross multiply
648,658,973,535.35x = 972,307,357,506.60 × 218,246,630,497.15 - Step 4: Simplify right side
648,658,973,535.35x = 212,202,804,583,403,245,010,944 - Step 5: Solve for x
x = 212,202,804,583,403,245,010,944/648,658,973,535.35 - Step 6: Final answer
x = 327,140,783,124.99
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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.