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Finding the Fourth Proportional to 513,646.50, 708,834.93 and 287,291.94

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Solution

The fourth proportional to 513,646.50, 708,834.93 and 287,291.94 is: 396,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,646.50 : 708,834.93 = 287,291.94 : x
  2. Step 2: Convert to fraction form
    513,646.50/708,834.93 = 287,291.94/x
  3. Step 3: Cross multiply
    513,646.50x = 708,834.93 × 287,291.94
  4. Step 4: Simplify right side
    513,646.50x = 203,642,562,179.46
  5. Step 5: Solve for x
    x = 203,642,562,179.46/513,646.50
  6. Step 6: Final answer
    x = 396,464.42

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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.