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Finding the Fourth Proportional to 512,646.45, 702,313.97 and 493,479.15

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Solution

The fourth proportional to 512,646.45, 702,313.97 and 493,479.15 is: 676,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,646.45 : 702,313.97 = 493,479.15 : x
  2. Step 2: Convert to fraction form
    512,646.45/702,313.97 = 493,479.15/x
  3. Step 3: Cross multiply
    512,646.45x = 702,313.97 × 493,479.15
  4. Step 4: Simplify right side
    512,646.45x = 346,577,302,182.42
  5. Step 5: Solve for x
    x = 346,577,302,182.42/512,646.45
  6. Step 6: Final answer
    x = 676,055.21

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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.