Finding the Fourth Proportional to 278,527,029,830.31, 417,872,514,176.15 and 89,869,386,236.07
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Solution
The fourth proportional to 278,527,029,830.31, 417,872,514,176.15 and 89,869,386,236.07 is: 134,830,527,567.88
Step by Step Solution
- Step 1: Write the proportion equation
278,527,029,830.31 : 417,872,514,176.15 = 89,869,386,236.07 : x - Step 2: Convert to fraction form
278,527,029,830.31/417,872,514,176.15 = 89,869,386,236.07/x - Step 3: Cross multiply
278,527,029,830.31x = 417,872,514,176.15 × 89,869,386,236.07 - Step 4: Simplify right side
278,527,029,830.31x = 37,553,946,373,934,064,599,040 - Step 5: Solve for x
x = 37,553,946,373,934,064,599,040/278,527,029,830.31 - Step 6: Final answer
x = 134,830,527,567.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.