Finding the Fourth Proportional to 513,143,886.78, 708,215,237.19 and 403,957,234.62
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Solution
The fourth proportional to 513,143,886.78, 708,215,237.19 and 403,957,234.62 is: 557,521,342.65
Step by Step Solution
- Step 1: Write the proportion equation
513,143,886.78 : 708,215,237.19 = 403,957,234.62 : x - Step 2: Convert to fraction form
513,143,886.78/708,215,237.19 = 403,957,234.62/x - Step 3: Cross multiply
513,143,886.78x = 708,215,237.19 × 403,957,234.62 - Step 4: Simplify right side
513,143,886.78x = 286,088,668,731,019,808 - Step 5: Solve for x
x = 286,088,668,731,019,808/513,143,886.78 - Step 6: Final answer
x = 557,521,342.65
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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.