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Finding the Fourth Proportional to 512,661.12, 702,333.96 and 493,493.76

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Solution

The fourth proportional to 512,661.12, 702,333.96 and 493,493.76 is: 676,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,661.12 : 702,333.96 = 493,493.76 : x
  2. Step 2: Convert to fraction form
    512,661.12/702,333.96 = 493,493.76/x
  3. Step 3: Cross multiply
    512,661.12x = 702,333.96 × 493,493.76
  4. Step 4: Simplify right side
    512,661.12x = 346,597,426,696.09
  5. Step 5: Solve for x
    x = 346,597,426,696.09/512,661.12
  6. Step 6: Final answer
    x = 676,075.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.