Finding the Fourth Proportional to 867,497,472,125.20, 1,301,246,208,187.80 and 308,951,249,021.20
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Solution
The fourth proportional to 867,497,472,125.20, 1,301,246,208,187.80 and 308,951,249,021.20 is: 463,426,873,531.80
Step by Step Solution
- Step 1: Write the proportion equation
867,497,472,125.20 : 1,301,246,208,187.80 = 308,951,249,021.20 : x - Step 2: Convert to fraction form
867,497,472,125.20/1,301,246,208,187.80 = 308,951,249,021.20/x - Step 3: Cross multiply
867,497,472,125.20x = 1,301,246,208,187.80 × 308,951,249,021.20 - Step 4: Simplify right side
867,497,472,125.20x = 402,021,641,303,721,305,440,256 - Step 5: Solve for x
x = 402,021,641,303,721,305,440,256/867,497,472,125.20 - Step 6: Final answer
x = 463,426,873,531.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.