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Finding the Fourth Proportional to 287,291.52, 430,872.48 and 109,735.20

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Solution

The fourth proportional to 287,291.52, 430,872.48 and 109,735.20 is: 164,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,291.52 : 430,872.48 = 109,735.20 : x
  2. Step 2: Convert to fraction form
    287,291.52/430,872.48 = 109,735.20/x
  3. Step 3: Cross multiply
    287,291.52x = 430,872.48 × 109,735.20
  4. Step 4: Simplify right side
    287,291.52x = 47,281,877,767.30
  5. Step 5: Solve for x
    x = 47,281,877,767.30/287,291.52
  6. Step 6: Final answer
    x = 164,578.05

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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.