Finding the Fourth Proportional to 446,056,416.12, 615,521,768.07 and 257,896,781.74
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Solution
The fourth proportional to 446,056,416.12, 615,521,768.07 and 257,896,781.74 is: 355,876,694.83
Step by Step Solution
- Step 1: Write the proportion equation
446,056,416.12 : 615,521,768.07 = 257,896,781.74 : x - Step 2: Convert to fraction form
446,056,416.12/615,521,768.07 = 257,896,781.74/x - Step 3: Cross multiply
446,056,416.12x = 615,521,768.07 × 257,896,781.74 - Step 4: Simplify right side
446,056,416.12x = 158,741,083,076,167,712 - Step 5: Solve for x
x = 158,741,083,076,167,712/446,056,416.12 - Step 6: Final answer
x = 355,876,694.83
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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.