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Finding the Fourth Proportional to 228,448.64, 315,402 and 146,810

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Solution

The fourth proportional to 228,448.64, 315,402 and 146,810 is: 202,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,448.64 : 315,402 = 146,810 : x
  2. Step 2: Convert to fraction form
    228,448.64/315,402 = 146,810/x
  3. Step 3: Cross multiply
    228,448.64x = 315,402 × 146,810
  4. Step 4: Simplify right side
    228,448.64x = 46,304,167,620
  5. Step 5: Solve for x
    x = 46,304,167,620/228,448.64
  6. Step 6: Final answer
    x = 202,689.62

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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.