Finding the Fourth Proportional to 284,349,843,170.40, 392,402,688,862.02 and 155,888,533,652.79
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Solution
The fourth proportional to 284,349,843,170.40, 392,402,688,862.02 and 155,888,533,652.79 is: 215,126,124,516.46
Step by Step Solution
- Step 1: Write the proportion equation
284,349,843,170.40 : 392,402,688,862.02 = 155,888,533,652.79 : x - Step 2: Convert to fraction form
284,349,843,170.40/392,402,688,862.02 = 155,888,533,652.79/x - Step 3: Cross multiply
284,349,843,170.40x = 392,402,688,862.02 × 155,888,533,652.79 - Step 4: Simplify right side
284,349,843,170.40x = 61,171,079,768,112,292,167,680 - Step 5: Solve for x
x = 61,171,079,768,112,292,167,680/284,349,843,170.40 - Step 6: Final answer
x = 215,126,124,516.46
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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.