Finding the Fourth Proportional to 1,537,778,260.19, 2,122,023,828.90 and 902,724,537.57
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Solution
The fourth proportional to 1,537,778,260.19, 2,122,023,828.90 and 902,724,537.57 is: 1,245,695,188.47
Step by Step Solution
- Step 1: Write the proportion equation
1,537,778,260.19 : 2,122,023,828.90 = 902,724,537.57 : x - Step 2: Convert to fraction form
1,537,778,260.19/2,122,023,828.90 = 902,724,537.57/x - Step 3: Cross multiply
1,537,778,260.19x = 2,122,023,828.90 × 902,724,537.57 - Step 4: Simplify right side
1,537,778,260.19x = 1,915,602,979,656,273,408 - Step 5: Solve for x
x = 1,915,602,979,656,273,408/1,537,778,260.19 - Step 6: Final answer
x = 1,245,695,188.47
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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.