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Finding the Fourth Proportional to 280,652.47, 421,294.20 and 112,291.58

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Solution

The fourth proportional to 280,652.47, 421,294.20 and 112,291.58 is: 168,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,652.47 : 421,294.20 = 112,291.58 : x
  2. Step 2: Convert to fraction form
    280,652.47/421,294.20 = 112,291.58/x
  3. Step 3: Cross multiply
    280,652.47x = 421,294.20 × 112,291.58
  4. Step 4: Simplify right side
    280,652.47x = 47,307,790,256.84
  5. Step 5: Solve for x
    x = 47,307,790,256.84/280,652.47
  6. Step 6: Final answer
    x = 168,563.60

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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.