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Finding the Fourth Proportional to 288,564.90, 432,847.35 and 218,580.90

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Solution

The fourth proportional to 288,564.90, 432,847.35 and 218,580.90 is: 327,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.90 : 432,847.35 = 218,580.90 : x
  2. Step 2: Convert to fraction form
    288,564.90/432,847.35 = 218,580.90/x
  3. Step 3: Cross multiply
    288,564.90x = 432,847.35 × 218,580.90
  4. Step 4: Simplify right side
    288,564.90x = 94,612,163,325.62
  5. Step 5: Solve for x
    x = 94,612,163,325.62/288,564.90
  6. Step 6: Final answer
    x = 327,871.35

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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.