Finding the Fourth Proportional to 343,722,931,409.47, 474,316,272,914.32 and 189,389,974,292.88
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Solution
The fourth proportional to 343,722,931,409.47, 474,316,272,914.32 and 189,389,974,292.88 is: 261,346,388,399.45
Step by Step Solution
- Step 1: Write the proportion equation
343,722,931,409.47 : 474,316,272,914.32 = 189,389,974,292.88 : x - Step 2: Convert to fraction form
343,722,931,409.47/474,316,272,914.32 = 189,389,974,292.88/x - Step 3: Cross multiply
343,722,931,409.47x = 474,316,272,914.32 × 189,389,974,292.88 - Step 4: Simplify right side
343,722,931,409.47x = 89,830,746,733,937,730,519,040 - Step 5: Solve for x
x = 89,830,746,733,937,730,519,040/343,722,931,409.47 - Step 6: Final answer
x = 261,346,388,399.45
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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.