Finding the Fourth Proportional to 430,343.12, 645,069.92 and 164,032.08
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Solution
The fourth proportional to 430,343.12, 645,069.92 and 164,032.08 is: 245,878.59
Step by Step Solution
- Step 1: Write the proportion equation
430,343.12 : 645,069.92 = 164,032.08 : x - Step 2: Convert to fraction form
430,343.12/645,069.92 = 164,032.08/x - Step 3: Cross multiply
430,343.12x = 645,069.92 × 164,032.08 - Step 4: Simplify right side
430,343.12x = 105,812,160,723.03 - Step 5: Solve for x
x = 105,812,160,723.03/430,343.12 - Step 6: Final answer
x = 245,878.59
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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.