Finding the Fourth Proportional to 1,430,784,000.10, 2,146,176,000.15 and 511,698,124.90
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Solution
The fourth proportional to 1,430,784,000.10, 2,146,176,000.15 and 511,698,124.90 is: 767,547,187.35
Step by Step Solution
- Step 1: Write the proportion equation
1,430,784,000.10 : 2,146,176,000.15 = 511,698,124.90 : x - Step 2: Convert to fraction form
1,430,784,000.10/2,146,176,000.15 = 511,698,124.90/x - Step 3: Cross multiply
1,430,784,000.10x = 2,146,176,000.15 × 511,698,124.90 - Step 4: Simplify right side
1,430,784,000.10x = 1,098,194,234,982,137,088 - Step 5: Solve for x
x = 1,098,194,234,982,137,088/1,430,784,000.10 - Step 6: Final answer
x = 767,547,187.35
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.