Finding the Fourth Proportional to 402,323,187,508.72, 555,206,549,375.64 and 219,420,731,342.32
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Solution
The fourth proportional to 402,323,187,508.72, 555,206,549,375.64 and 219,420,731,342.32 is: 302,800,909,548.39
Step by Step Solution
- Step 1: Write the proportion equation
402,323,187,508.72 : 555,206,549,375.64 = 219,420,731,342.32 : x - Step 2: Convert to fraction form
402,323,187,508.72/555,206,549,375.64 = 219,420,731,342.32/x - Step 3: Cross multiply
402,323,187,508.72x = 555,206,549,375.64 × 219,420,731,342.32 - Step 4: Simplify right side
402,323,187,508.72x = 121,823,827,110,048,833,732,608 - Step 5: Solve for x
x = 121,823,827,110,048,833,732,608/402,323,187,508.72 - Step 6: Final answer
x = 302,800,909,548.39
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.