Finding the Fourth Proportional to 375,280,742,421.56, 517,883,745,286.96 and 203,992,482,637.28
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Solution
The fourth proportional to 375,280,742,421.56, 517,883,745,286.96 and 203,992,482,637.28 is: 281,507,626,095.85
Step by Step Solution
- Step 1: Write the proportion equation
375,280,742,421.56 : 517,883,745,286.96 = 203,992,482,637.28 : x - Step 2: Convert to fraction form
375,280,742,421.56/517,883,745,286.96 = 203,992,482,637.28/x - Step 3: Cross multiply
375,280,742,421.56x = 517,883,745,286.96 × 203,992,482,637.28 - Step 4: Simplify right side
375,280,742,421.56x = 105,644,390,918,579,728,416,768 - Step 5: Solve for x
x = 105,644,390,918,579,728,416,768/375,280,742,421.56 - Step 6: Final answer
x = 281,507,626,095.85
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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.