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Finding the Fourth Proportional to 513,323.76, 708,388.83 and 286,969.26

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Solution

The fourth proportional to 513,323.76, 708,388.83 and 286,969.26 is: 396,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,323.76 : 708,388.83 = 286,969.26 : x
  2. Step 2: Convert to fraction form
    513,323.76/708,388.83 = 286,969.26/x
  3. Step 3: Cross multiply
    513,323.76x = 708,388.83 × 286,969.26
  4. Step 4: Simplify right side
    513,323.76x = 203,285,818,337.37
  5. Step 5: Solve for x
    x = 203,285,818,337.37/513,323.76
  6. Step 6: Final answer
    x = 396,018.72

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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.