Finding the Fourth Proportional to 507,854.19, 700,836.80 and 278,412.75
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Solution
The fourth proportional to 507,854.19, 700,836.80 and 278,412.75 is: 384,208.51
Step by Step Solution
- Step 1: Write the proportion equation
507,854.19 : 700,836.80 = 278,412.75 : x - Step 2: Convert to fraction form
507,854.19/700,836.80 = 278,412.75/x - Step 3: Cross multiply
507,854.19x = 700,836.80 × 278,412.75 - Step 4: Simplify right side
507,854.19x = 195,121,899,397.14 - Step 5: Solve for x
x = 195,121,899,397.14/507,854.19 - Step 6: Final answer
x = 384,208.51
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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.