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Finding the Fourth Proportional to 319,271.27, 478,583.51 and 207,022.68

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Solution

The fourth proportional to 319,271.27, 478,583.51 and 207,022.68 is: 310,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,271.27 : 478,583.51 = 207,022.68 : x
  2. Step 2: Convert to fraction form
    319,271.27/478,583.51 = 207,022.68/x
  3. Step 3: Cross multiply
    319,271.27x = 478,583.51 × 207,022.68
  4. Step 4: Simplify right side
    319,271.27x = 99,077,639,808.89
  5. Step 5: Solve for x
    x = 99,077,639,808.89/319,271.27
  6. Step 6: Final answer
    x = 310,324.33

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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.