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Finding the Fourth Proportional to 521,904.72, 782,852.94 and 310,140.24

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Solution

The fourth proportional to 521,904.72, 782,852.94 and 310,140.24 is: 465,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,904.72 : 782,852.94 = 310,140.24 : x
  2. Step 2: Convert to fraction form
    521,904.72/782,852.94 = 310,140.24/x
  3. Step 3: Cross multiply
    521,904.72x = 782,852.94 × 310,140.24
  4. Step 4: Simplify right side
    521,904.72x = 242,794,198,696.31
  5. Step 5: Solve for x
    x = 242,794,198,696.31/521,904.72
  6. Step 6: Final answer
    x = 465,207.90

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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.