Finding the Fourth Proportional to 260,170,812.84, 359,048,875.86 and 142,707,073.08
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Solution
The fourth proportional to 260,170,812.84, 359,048,875.86 and 142,707,073.08 is: 196,942,976.07
Step by Step Solution
- Step 1: Write the proportion equation
260,170,812.84 : 359,048,875.86 = 142,707,073.08 : x - Step 2: Convert to fraction form
260,170,812.84/359,048,875.86 = 142,707,073.08/x - Step 3: Cross multiply
260,170,812.84x = 359,048,875.86 × 142,707,073.08 - Step 4: Simplify right side
260,170,812.84x = 51,238,814,166,644,872 - Step 5: Solve for x
x = 51,238,814,166,644,872/260,170,812.84 - Step 6: Final answer
x = 196,942,976.07
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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.