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Finding the Fourth Proportional to 513,760.68, 708,999.94 and 309,810.60

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Solution

The fourth proportional to 513,760.68, 708,999.94 and 309,810.60 is: 427,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,760.68 : 708,999.94 = 309,810.60 : x
  2. Step 2: Convert to fraction form
    513,760.68/708,999.94 = 309,810.60/x
  3. Step 3: Cross multiply
    513,760.68x = 708,999.94 × 309,810.60
  4. Step 4: Simplify right side
    513,760.68x = 219,655,696,811.36
  5. Step 5: Solve for x
    x = 219,655,696,811.36/513,760.68
  6. Step 6: Final answer
    x = 427,544.78

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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.