Finding the Fourth Proportional to 861,992,319.84, 1,189,549,355.87 and 465,515,271.23
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Solution
The fourth proportional to 861,992,319.84, 1,189,549,355.87 and 465,515,271.23 is: 642,411,049.72
Step by Step Solution
- Step 1: Write the proportion equation
861,992,319.84 : 1,189,549,355.87 = 465,515,271.23 : x - Step 2: Convert to fraction form
861,992,319.84/1,189,549,355.87 = 465,515,271.23/x - Step 3: Cross multiply
861,992,319.84x = 1,189,549,355.87 × 465,515,271.23 - Step 4: Simplify right side
861,992,319.84x = 553,753,391,039,294,784 - Step 5: Solve for x
x = 553,753,391,039,294,784/861,992,319.84 - Step 6: Final answer
x = 642,411,049.72
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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.