Finding the Fourth Proportional to 219,750,400,166.40, 329,711,596,588.80 and 80,178,341,644.80
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Solution
The fourth proportional to 219,750,400,166.40, 329,711,596,588.80 and 80,178,341,644.80 is: 120,298,889,173.95
Step by Step Solution
- Step 1: Write the proportion equation
219,750,400,166.40 : 329,711,596,588.80 = 80,178,341,644.80 : x - Step 2: Convert to fraction form
219,750,400,166.40/329,711,596,588.80 = 80,178,341,644.80/x - Step 3: Cross multiply
219,750,400,166.40x = 329,711,596,588.80 × 80,178,341,644.80 - Step 4: Simplify right side
219,750,400,166.40x = 26,435,729,035,549,281,878,016 - Step 5: Solve for x
x = 26,435,729,035,549,281,878,016/219,750,400,166.40 - Step 6: Final answer
x = 120,298,889,173.95
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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.