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Finding the Fourth Proportional to 513,558.40, 708,888.72 and 352,945.12

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Solution

The fourth proportional to 513,558.40, 708,888.72 and 352,945.12 is: 487,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,558.40 : 708,888.72 = 352,945.12 : x
  2. Step 2: Convert to fraction form
    513,558.40/708,888.72 = 352,945.12/x
  3. Step 3: Cross multiply
    513,558.40x = 708,888.72 × 352,945.12
  4. Step 4: Simplify right side
    513,558.40x = 250,198,814,347.05
  5. Step 5: Solve for x
    x = 250,198,814,347.05/513,558.40
  6. Step 6: Final answer
    x = 487,186.68

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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.