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Finding the Fourth Proportional to 287,208.40, 430,812.60 and 161,237.20

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Solution

The fourth proportional to 287,208.40, 430,812.60 and 161,237.20 is: 241,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208.40 : 430,812.60 = 161,237.20 : x
  2. Step 2: Convert to fraction form
    287,208.40/430,812.60 = 161,237.20/x
  3. Step 3: Cross multiply
    287,208.40x = 430,812.60 × 161,237.20
  4. Step 4: Simplify right side
    287,208.40x = 69,463,017,348.72
  5. Step 5: Solve for x
    x = 69,463,017,348.72/287,208.40
  6. Step 6: Final answer
    x = 241,855.80

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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.