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Finding the Fourth Proportional to 398,807.46, 550,386.90 and 226,779.30

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Solution

The fourth proportional to 398,807.46, 550,386.90 and 226,779.30 is: 312,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,807.46 : 550,386.90 = 226,779.30 : x
  2. Step 2: Convert to fraction form
    398,807.46/550,386.90 = 226,779.30/x
  3. Step 3: Cross multiply
    398,807.46x = 550,386.90 × 226,779.30
  4. Step 4: Simplify right side
    398,807.46x = 124,816,355,911.17
  5. Step 5: Solve for x
    x = 124,816,355,911.17/398,807.46
  6. Step 6: Final answer
    x = 312,973.97

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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.