Finding the Fourth Proportional to 238,688,814,242.80, 329,391,901,557.93 and 135,805,931,425.09
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Solution
The fourth proportional to 238,688,814,242.80, 329,391,901,557.93 and 135,805,931,425.09 is: 187,412,946,588.49
Step by Step Solution
- Step 1: Write the proportion equation
238,688,814,242.80 : 329,391,901,557.93 = 135,805,931,425.09 : x - Step 2: Convert to fraction form
238,688,814,242.80/329,391,901,557.93 = 135,805,931,425.09/x - Step 3: Cross multiply
238,688,814,242.80x = 329,391,901,557.93 × 135,805,931,425.09 - Step 4: Simplify right side
238,688,814,242.80x = 44,733,373,994,956,234,948,608 - Step 5: Solve for x
x = 44,733,373,994,956,234,948,608/238,688,814,242.80 - Step 6: Final answer
x = 187,412,946,588.49
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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.