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Finding the Fourth Proportional to 580,030.11, 870,389.61 and 313,784.73

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Solution

The fourth proportional to 580,030.11, 870,389.61 and 313,784.73 is: 470,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,030.11 : 870,389.61 = 313,784.73 : x
  2. Step 2: Convert to fraction form
    580,030.11/870,389.61 = 313,784.73/x
  3. Step 3: Cross multiply
    580,030.11x = 870,389.61 × 313,784.73
  4. Step 4: Simplify right side
    580,030.11x = 273,114,968,768.66
  5. Step 5: Solve for x
    x = 273,114,968,768.66/580,030.11
  6. Step 6: Final answer
    x = 470,863.43

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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.