Finding the Fourth Proportional to 513,809.36, 709,035.12 and 284,345.18
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Solution
The fourth proportional to 513,809.36, 709,035.12 and 284,345.18 is: 392,384.29
Step by Step Solution
- Step 1: Write the proportion equation
513,809.36 : 709,035.12 = 284,345.18 : x - Step 2: Convert to fraction form
513,809.36/709,035.12 = 284,345.18/x - Step 3: Cross multiply
513,809.36x = 709,035.12 × 284,345.18 - Step 4: Simplify right side
513,809.36x = 201,610,721,924.75 - Step 5: Solve for x
x = 201,610,721,924.75/513,809.36 - Step 6: Final answer
x = 392,384.29
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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.