Finding the Fourth Proportional to 513,181,368.70, 708,205,225.32 and 290,158,259.58
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Solution
The fourth proportional to 513,181,368.70, 708,205,225.32 and 290,158,259.58 is: 400,426,843.49
Step by Step Solution
- Step 1: Write the proportion equation
513,181,368.70 : 708,205,225.32 = 290,158,259.58 : x - Step 2: Convert to fraction form
513,181,368.70/708,205,225.32 = 290,158,259.58/x - Step 3: Cross multiply
513,181,368.70x = 708,205,225.32 × 290,158,259.58 - Step 4: Simplify right side
513,181,368.70x = 205,491,595,604,312,960 - Step 5: Solve for x
x = 205,491,595,604,312,960/513,181,368.70 - Step 6: Final answer
x = 400,426,843.49
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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.