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Finding the Fourth Proportional to 520,455.93, 780,152.13 and 295,341

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Solution

The fourth proportional to 520,455.93, 780,152.13 and 295,341 is: 442,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,455.93 : 780,152.13 = 295,341 : x
  2. Step 2: Convert to fraction form
    520,455.93/780,152.13 = 295,341/x
  3. Step 3: Cross multiply
    520,455.93x = 780,152.13 × 295,341
  4. Step 4: Simplify right side
    520,455.93x = 230,410,910,226.33
  5. Step 5: Solve for x
    x = 230,410,910,226.33/520,455.93
  6. Step 6: Final answer
    x = 442,709.74

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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.