Finding the Fourth Proportional to 347,041,453,862.72, 478,890,923,438.88 and 194,764,872,299.84
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Solution
The fourth proportional to 347,041,453,862.72, 478,890,923,438.88 and 194,764,872,299.84 is: 268,760,773,420.52
Step by Step Solution
- Step 1: Write the proportion equation
347,041,453,862.72 : 478,890,923,438.88 = 194,764,872,299.84 : x - Step 2: Convert to fraction form
347,041,453,862.72/478,890,923,438.88 = 194,764,872,299.84/x - Step 3: Cross multiply
347,041,453,862.72x = 478,890,923,438.88 × 194,764,872,299.84 - Step 4: Simplify right side
347,041,453,862.72x = 93,271,129,549,125,913,149,440 - Step 5: Solve for x
x = 93,271,129,549,125,913,149,440/347,041,453,862.72 - Step 6: Final answer
x = 268,760,773,420.52
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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.