Finding the Fourth Proportional to 512,734.46, 707,587.82 and 283,306.53
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Solution
The fourth proportional to 512,734.46, 707,587.82 and 283,306.53 is: 390,970.89
Step by Step Solution
- Step 1: Write the proportion equation
512,734.46 : 707,587.82 = 283,306.53 : x - Step 2: Convert to fraction form
512,734.46/707,587.82 = 283,306.53/x - Step 3: Cross multiply
512,734.46x = 707,587.82 × 283,306.53 - Step 4: Simplify right side
512,734.46x = 200,464,248,537.93 - Step 5: Solve for x
x = 200,464,248,537.93/512,734.46 - Step 6: Final answer
x = 390,970.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.