Finding the Fourth Proportional to 408,293,921,463.58, 563,442,745,306.35 and 222,895,630,430.67
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Solution
The fourth proportional to 408,293,921,463.58, 563,442,745,306.35 and 222,895,630,430.67 is: 307,594,405,217.83
Step by Step Solution
- Step 1: Write the proportion equation
408,293,921,463.58 : 563,442,745,306.35 = 222,895,630,430.67 : x - Step 2: Convert to fraction form
408,293,921,463.58/563,442,745,306.35 = 222,895,630,430.67/x - Step 3: Cross multiply
408,293,921,463.58x = 563,442,745,306.35 × 222,895,630,430.67 - Step 4: Simplify right side
408,293,921,463.58x = 125,588,925,926,646,323,609,600 - Step 5: Solve for x
x = 125,588,925,926,646,323,609,600/408,293,921,463.58 - Step 6: Final answer
x = 307,594,405,217.83
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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.