Finding the Fourth Proportional to 319,506,950,321.61, 440,933,451,425.12 and 176,936,210,369.61
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Solution
The fourth proportional to 319,506,950,321.61, 440,933,451,425.12 and 176,936,210,369.61 is: 244,179,645,675.38
Step by Step Solution
- Step 1: Write the proportion equation
319,506,950,321.61 : 440,933,451,425.12 = 176,936,210,369.61 : x - Step 2: Convert to fraction form
319,506,950,321.61/440,933,451,425.12 = 176,936,210,369.61/x - Step 3: Cross multiply
319,506,950,321.61x = 440,933,451,425.12 × 176,936,210,369.61 - Step 4: Simplify right side
319,506,950,321.61x = 78,017,093,920,353,232,617,472 - Step 5: Solve for x
x = 78,017,093,920,353,232,617,472/319,506,950,321.61 - Step 6: Final answer
x = 244,179,645,675.38
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1.5x scale
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.