Finding the Fourth Proportional to 782,854,298.39, 1,080,343,202.72 and 460,996,307.75
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Solution
The fourth proportional to 782,854,298.39, 1,080,343,202.72 and 460,996,307.75 is: 636,177,419.71
Step by Step Solution
- Step 1: Write the proportion equation
782,854,298.39 : 1,080,343,202.72 = 460,996,307.75 : x - Step 2: Convert to fraction form
782,854,298.39/1,080,343,202.72 = 460,996,307.75/x - Step 3: Cross multiply
782,854,298.39x = 1,080,343,202.72 × 460,996,307.75 - Step 4: Simplify right side
782,854,298.39x = 498,034,227,557,125,568 - Step 5: Solve for x
x = 498,034,227,557,125,568/782,854,298.39 - Step 6: Final answer
x = 636,177,419.71
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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.