Finding the Fourth Proportional to 450,689,030,778.24, 621,965,778,156.84 and 247,699,996,479.36
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Solution
The fourth proportional to 450,689,030,778.24, 621,965,778,156.84 and 247,699,996,479.36 is: 341,834,192,844.02
Step by Step Solution
- Step 1: Write the proportion equation
450,689,030,778.24 : 621,965,778,156.84 = 247,699,996,479.36 : x - Step 2: Convert to fraction form
450,689,030,778.24/621,965,778,156.84 = 247,699,996,479.36/x - Step 3: Cross multiply
450,689,030,778.24x = 621,965,778,156.84 × 247,699,996,479.36 - Step 4: Simplify right side
450,689,030,778.24x = 154,060,921,059,731,656,671,232 - Step 5: Solve for x
x = 154,060,921,059,731,656,671,232/450,689,030,778.24 - Step 6: Final answer
x = 341,834,192,844.02
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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.