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Finding the Fourth Proportional to 288,541.90, 432,812.85 and 164,125.90

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Solution

The fourth proportional to 288,541.90, 432,812.85 and 164,125.90 is: 246,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,541.90 : 432,812.85 = 164,125.90 : x
  2. Step 2: Convert to fraction form
    288,541.90/432,812.85 = 164,125.90/x
  3. Step 3: Cross multiply
    288,541.90x = 432,812.85 × 164,125.90
  4. Step 4: Simplify right side
    288,541.90x = 71,035,798,537.82
  5. Step 5: Solve for x
    x = 71,035,798,537.82/288,541.90
  6. Step 6: Final answer
    x = 246,188.85

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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.