Finding the Fourth Proportional to 499,455,713,669.92, 689,249,394,971.58 and 271,085,002,739.08
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Solution
The fourth proportional to 499,455,713,669.92, 689,249,394,971.58 and 271,085,002,739.08 is: 374,097,580,646.08
Step by Step Solution
- Step 1: Write the proportion equation
499,455,713,669.92 : 689,249,394,971.58 = 271,085,002,739.08 : x - Step 2: Convert to fraction form
499,455,713,669.92/689,249,394,971.58 = 271,085,002,739.08/x - Step 3: Cross multiply
499,455,713,669.92x = 689,249,394,971.58 × 271,085,002,739.08 - Step 4: Simplify right side
499,455,713,669.92x = 186,845,174,123,779,980,263,424 - Step 5: Solve for x
x = 186,845,174,123,779,980,263,424/499,455,713,669.92 - Step 6: Final answer
x = 374,097,580,646.08
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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.