Finding the Fourth Proportional to 769,565,964.12, 1,062,014,638.16 and 417,153,658.20
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Solution
The fourth proportional to 769,565,964.12, 1,062,014,638.16 and 417,153,658.20 is: 575,679,424.54
Step by Step Solution
- Step 1: Write the proportion equation
769,565,964.12 : 1,062,014,638.16 = 417,153,658.20 : x - Step 2: Convert to fraction form
769,565,964.12/1,062,014,638.16 = 417,153,658.20/x - Step 3: Cross multiply
769,565,964.12x = 1,062,014,638.16 × 417,153,658.20 - Step 4: Simplify right side
769,565,964.12x = 443,023,291,370,393,280 - Step 5: Solve for x
x = 443,023,291,370,393,280/769,565,964.12 - Step 6: Final answer
x = 575,679,424.54
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Double scale
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1.5x scale
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.