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Finding the Fourth Proportional to 513,334.10, 708,405.54 and 283,879.46

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Solution

The fourth proportional to 513,334.10, 708,405.54 and 283,879.46 is: 391,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,334.10 : 708,405.54 = 283,879.46 : x
  2. Step 2: Convert to fraction form
    513,334.10/708,405.54 = 283,879.46/x
  3. Step 3: Cross multiply
    513,334.10x = 708,405.54 × 283,879.46
  4. Step 4: Simplify right side
    513,334.10x = 201,101,782,156.21
  5. Step 5: Solve for x
    x = 201,101,782,156.21/513,334.10
  6. Step 6: Final answer
    x = 391,756.13

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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.