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Finding the Fourth Proportional to 316,869.60, 475,304.40 and 204,895.20

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Solution

The fourth proportional to 316,869.60, 475,304.40 and 204,895.20 is: 307,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,869.60 : 475,304.40 = 204,895.20 : x
  2. Step 2: Convert to fraction form
    316,869.60/475,304.40 = 204,895.20/x
  3. Step 3: Cross multiply
    316,869.60x = 475,304.40 × 204,895.20
  4. Step 4: Simplify right side
    316,869.60x = 97,387,590,098.88
  5. Step 5: Solve for x
    x = 97,387,590,098.88/316,869.60
  6. Step 6: Final answer
    x = 307,342.80

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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.