Finding the Fourth Proportional to 416,319,874.74, 574,522,101.25 and 228,118,265.21
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Solution
The fourth proportional to 416,319,874.74, 574,522,101.25 and 228,118,265.21 is: 314,803,575.36
Step by Step Solution
- Step 1: Write the proportion equation
416,319,874.74 : 574,522,101.25 = 228,118,265.21 : x - Step 2: Convert to fraction form
416,319,874.74/574,522,101.25 = 228,118,265.21/x - Step 3: Cross multiply
416,319,874.74x = 574,522,101.25 × 228,118,265.21 - Step 4: Simplify right side
416,319,874.74x = 131,058,985,062,819,968 - Step 5: Solve for x
x = 131,058,985,062,819,968/416,319,874.74 - Step 6: Final answer
x = 314,803,575.36
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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.