Finding the Fourth Proportional to 299,556,681,702.91, 449,489,506,585.99 and 140,395,950,711.12
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Solution
The fourth proportional to 299,556,681,702.91, 449,489,506,585.99 and 140,395,950,711.12 is: 210,666,329,500.87
Step by Step Solution
- Step 1: Write the proportion equation
299,556,681,702.91 : 449,489,506,585.99 = 140,395,950,711.12 : x - Step 2: Convert to fraction form
299,556,681,702.91/449,489,506,585.99 = 140,395,950,711.12/x - Step 3: Cross multiply
299,556,681,702.91x = 449,489,506,585.99 × 140,395,950,711.12 - Step 4: Simplify right side
299,556,681,702.91x = 63,106,506,611,812,301,012,992 - Step 5: Solve for x
x = 63,106,506,611,812,301,012,992/299,556,681,702.91 - Step 6: Final answer
x = 210,666,329,500.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.