Finding the Fourth Proportional to 514,312,243.42, 709,809,774.95 and 288,312,267.40
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Solution
The fourth proportional to 514,312,243.42, 709,809,774.95 and 288,312,267.40 is: 397,903,935.32
Step by Step Solution
- Step 1: Write the proportion equation
514,312,243.42 : 709,809,774.95 = 288,312,267.40 : x - Step 2: Convert to fraction form
514,312,243.42/709,809,774.95 = 288,312,267.40/x - Step 3: Cross multiply
514,312,243.42x = 709,809,774.95 × 288,312,267.40 - Step 4: Simplify right side
514,312,243.42x = 204,646,865,638,518,208 - Step 5: Solve for x
x = 204,646,865,638,518,208/514,312,243.42 - Step 6: Final answer
x = 397,903,935.32
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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.