Finding the Fourth Proportional to 1,020,416,557, 1,408,219,442.44 and 574,408,699.96
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Solution
The fourth proportional to 1,020,416,557, 1,408,219,442.44 and 574,408,699.96 is: 792,709,108.49
Step by Step Solution
- Step 1: Write the proportion equation
1,020,416,557 : 1,408,219,442.44 = 574,408,699.96 : x - Step 2: Convert to fraction form
1,020,416,557/1,408,219,442.44 = 574,408,699.96/x - Step 3: Cross multiply
1,020,416,557x = 1,408,219,442.44 × 574,408,699.96 - Step 4: Simplify right side
1,020,416,557x = 808,893,499,190,356,480 - Step 5: Solve for x
x = 808,893,499,190,356,480/1,020,416,557 - Step 6: Final answer
x = 792,709,108.49
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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.