Finding the Fourth Proportional to 526,340,238,413.30, 726,348,978,130.70 and 294,855,387,138.65
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Solution
The fourth proportional to 526,340,238,413.30, 726,348,978,130.70 and 294,855,387,138.65 is: 406,900,125,648.99
Step by Step Solution
- Step 1: Write the proportion equation
526,340,238,413.30 : 726,348,978,130.70 = 294,855,387,138.65 : x - Step 2: Convert to fraction form
526,340,238,413.30/726,348,978,130.70 = 294,855,387,138.65/x - Step 3: Cross multiply
526,340,238,413.30x = 726,348,978,130.70 × 294,855,387,138.65 - Step 4: Simplify right side
526,340,238,413.30x = 214,167,909,144,490,370,138,112 - Step 5: Solve for x
x = 214,167,909,144,490,370,138,112/526,340,238,413.30 - Step 6: Final answer
x = 406,900,125,648.99
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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.