Finding the Fourth Proportional to 375,280,742,420.56, 517,883,745,285.58 and 203,992,482,636.28
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Solution
The fourth proportional to 375,280,742,420.56, 517,883,745,285.58 and 203,992,482,636.28 is: 281,507,626,094.47
Step by Step Solution
- Step 1: Write the proportion equation
375,280,742,420.56 : 517,883,745,285.58 = 203,992,482,636.28 : x - Step 2: Convert to fraction form
375,280,742,420.56/517,883,745,285.58 = 203,992,482,636.28/x - Step 3: Cross multiply
375,280,742,420.56x = 517,883,745,285.58 × 203,992,482,636.28 - Step 4: Simplify right side
375,280,742,420.56x = 105,644,390,917,780,327,628,800 - Step 5: Solve for x
x = 105,644,390,917,780,327,628,800/375,280,742,420.56 - Step 6: Final answer
x = 281,507,626,094.47
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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.