Finding the Fourth Proportional to 355,077,261,488.04, 490,043,142,673.68 and 216,038,414,027.68
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Solution
The fourth proportional to 355,077,261,488.04, 490,043,142,673.68 and 216,038,414,027.68 is: 298,155,232,201.28
Step by Step Solution
- Step 1: Write the proportion equation
355,077,261,488.04 : 490,043,142,673.68 = 216,038,414,027.68 : x - Step 2: Convert to fraction form
355,077,261,488.04/490,043,142,673.68 = 216,038,414,027.68/x - Step 3: Cross multiply
355,077,261,488.04x = 490,043,142,673.68 × 216,038,414,027.68 - Step 4: Simplify right side
355,077,261,488.04x = 105,868,143,348,361,935,716,352 - Step 5: Solve for x
x = 105,868,143,348,361,935,716,352/355,077,261,488.04 - Step 6: Final answer
x = 298,155,232,201.28
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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.