Finding the Fourth Proportional to 256,102,806.84, 384,128,356.86 and 173,634,075.40
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Solution
The fourth proportional to 256,102,806.84, 384,128,356.86 and 173,634,075.40 is: 260,433,584.86
Step by Step Solution
- Step 1: Write the proportion equation
256,102,806.84 : 384,128,356.86 = 173,634,075.40 : x - Step 2: Convert to fraction form
256,102,806.84/384,128,356.86 = 173,634,075.40/x - Step 3: Cross multiply
256,102,806.84x = 384,128,356.86 × 173,634,075.40 - Step 4: Simplify right side
256,102,806.84x = 66,697,772,078,307,352 - Step 5: Solve for x
x = 66,697,772,078,307,352/256,102,806.84 - Step 6: Final answer
x = 260,433,584.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.