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Finding the Fourth Proportional to 520,512.45, 780,768.68 and 402,268.65

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Solution

The fourth proportional to 520,512.45, 780,768.68 and 402,268.65 is: 603,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,512.45 : 780,768.68 = 402,268.65 : x
  2. Step 2: Convert to fraction form
    520,512.45/780,768.68 = 402,268.65/x
  3. Step 3: Cross multiply
    520,512.45x = 780,768.68 × 402,268.65
  4. Step 4: Simplify right side
    520,512.45x = 314,078,760,854.54
  5. Step 5: Solve for x
    x = 314,078,760,854.54/520,512.45
  6. Step 6: Final answer
    x = 603,402.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.