Finding the Fourth Proportional to 513,713.22, 708,905.91 and 284,266.53
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Solution
The fourth proportional to 513,713.22, 708,905.91 and 284,266.53 is: 392,277.67
Step by Step Solution
- Step 1: Write the proportion equation
513,713.22 : 708,905.91 = 284,266.53 : x - Step 2: Convert to fraction form
513,713.22/708,905.91 = 284,266.53/x - Step 3: Cross multiply
513,713.22x = 708,905.91 × 284,266.53 - Step 4: Simplify right side
513,713.22x = 201,518,223,132.19 - Step 5: Solve for x
x = 201,518,223,132.19/513,713.22 - Step 6: Final answer
x = 392,277.67
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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.