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Finding the Fourth Proportional to 287,814.20, 430,943.70 and 225,606.20

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Solution

The fourth proportional to 287,814.20, 430,943.70 and 225,606.20 is: 337,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,814.20 : 430,943.70 = 225,606.20 : x
  2. Step 2: Convert to fraction form
    287,814.20/430,943.70 = 225,606.20/x
  3. Step 3: Cross multiply
    287,814.20x = 430,943.70 × 225,606.20
  4. Step 4: Simplify right side
    287,814.20x = 97,223,570,570.94
  5. Step 5: Solve for x
    x = 97,223,570,570.94/287,814.20
  6. Step 6: Final answer
    x = 337,799.77

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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.