Finding the Fourth Proportional to 1,430,784,000.35, 2,146,176,000.53 and 511,698,125.15
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Solution
The fourth proportional to 1,430,784,000.35, 2,146,176,000.53 and 511,698,125.15 is: 767,547,187.73
Step by Step Solution
- Step 1: Write the proportion equation
1,430,784,000.35 : 2,146,176,000.53 = 511,698,125.15 : x - Step 2: Convert to fraction form
1,430,784,000.35/2,146,176,000.53 = 511,698,125.15/x - Step 3: Cross multiply
1,430,784,000.35x = 2,146,176,000.53 × 511,698,125.15 - Step 4: Simplify right side
1,430,784,000.35x = 1,098,194,235,710,567,936 - Step 5: Solve for x
x = 1,098,194,235,710,567,936/1,430,784,000.35 - Step 6: Final answer
x = 767,547,187.73
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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.