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Finding the Fourth Proportional to 287,214.80, 430,822.20 and 162,798.80

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Solution

The fourth proportional to 287,214.80, 430,822.20 and 162,798.80 is: 244,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,214.80 : 430,822.20 = 162,798.80 : x
  2. Step 2: Convert to fraction form
    287,214.80/430,822.20 = 162,798.80/x
  3. Step 3: Cross multiply
    287,214.80x = 430,822.20 × 162,798.80
  4. Step 4: Simplify right side
    287,214.80x = 70,137,337,173.36
  5. Step 5: Solve for x
    x = 70,137,337,173.36/287,214.80
  6. Step 6: Final answer
    x = 244,198.20

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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.