Finding the Fourth Proportional to 413,189.70, 570,204.21 and 229,430.87
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Solution
The fourth proportional to 413,189.70, 570,204.21 and 229,430.87 is: 316,615.95
Step by Step Solution
- Step 1: Write the proportion equation
413,189.70 : 570,204.21 = 229,430.87 : x - Step 2: Convert to fraction form
413,189.70/570,204.21 = 229,430.87/x - Step 3: Cross multiply
413,189.70x = 570,204.21 × 229,430.87 - Step 4: Simplify right side
413,189.70x = 130,822,447,977.96 - Step 5: Solve for x
x = 130,822,447,977.96/413,189.70 - Step 6: Final answer
x = 316,615.95
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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.