Finding the Fourth Proportional to 1,411,319,516.23, 1,947,622,547.09 and 784,774,492.07
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Solution
The fourth proportional to 1,411,319,516.23, 1,947,622,547.09 and 784,774,492.07 is: 1,082,989,696.92
Step by Step Solution
- Step 1: Write the proportion equation
1,411,319,516.23 : 1,947,622,547.09 = 784,774,492.07 : x - Step 2: Convert to fraction form
1,411,319,516.23/1,947,622,547.09 = 784,774,492.07/x - Step 3: Cross multiply
1,411,319,516.23x = 1,947,622,547.09 × 784,774,492.07 - Step 4: Simplify right side
1,411,319,516.23x = 1,528,444,495,132,710,656 - Step 5: Solve for x
x = 1,528,444,495,132,710,656/1,411,319,516.23 - Step 6: Final answer
x = 1,082,989,696.92
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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.