Finding the Fourth Proportional to 421,442,397,620.24, 581,575,460,844.20 and 238,535,572,203.06
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Solution
The fourth proportional to 421,442,397,620.24, 581,575,460,844.20 and 238,535,572,203.06 is: 329,170,572,574.28
Step by Step Solution
- Step 1: Write the proportion equation
421,442,397,620.24 : 581,575,460,844.20 = 238,535,572,203.06 : x - Step 2: Convert to fraction form
421,442,397,620.24/581,575,460,844.20 = 238,535,572,203.06/x - Step 3: Cross multiply
421,442,397,620.24x = 581,575,460,844.20 × 238,535,572,203.06 - Step 4: Simplify right side
421,442,397,620.24x = 138,726,435,331,729,547,853,824 - Step 5: Solve for x
x = 138,726,435,331,729,547,853,824/421,442,397,620.24 - Step 6: Final answer
x = 329,170,572,574.28
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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.