Finding the Fourth Proportional to 785,417.09, 1,178,137.49 and 299,126.16
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Solution
The fourth proportional to 785,417.09, 1,178,137.49 and 299,126.16 is: 448,693.75
Step by Step Solution
- Step 1: Write the proportion equation
785,417.09 : 1,178,137.49 = 299,126.16 : x - Step 2: Convert to fraction form
785,417.09/1,178,137.49 = 299,126.16/x - Step 3: Cross multiply
785,417.09x = 1,178,137.49 × 299,126.16 - Step 4: Simplify right side
785,417.09x = 352,411,741,840.11 - Step 5: Solve for x
x = 352,411,741,840.11/785,417.09 - Step 6: Final answer
x = 448,693.75
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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.