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Finding the Fourth Proportional to 461,807.68, 692,930.83 and 319,871.38

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Solution

The fourth proportional to 461,807.68, 692,930.83 and 319,871.38 is: 479,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,807.68 : 692,930.83 = 319,871.38 : x
  2. Step 2: Convert to fraction form
    461,807.68/692,930.83 = 319,871.38/x
  3. Step 3: Cross multiply
    461,807.68x = 692,930.83 × 319,871.38
  4. Step 4: Simplify right side
    461,807.68x = 221,648,739,304.01
  5. Step 5: Solve for x
    x = 221,648,739,304.01/461,807.68
  6. Step 6: Final answer
    x = 479,958.97

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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.