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Finding the Fourth Proportional to 291,258.80, 436,013.40 and 172,869.20

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Solution

The fourth proportional to 291,258.80, 436,013.40 and 172,869.20 is: 258,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,258.80 : 436,013.40 = 172,869.20 : x
  2. Step 2: Convert to fraction form
    291,258.80/436,013.40 = 172,869.20/x
  3. Step 3: Cross multiply
    291,258.80x = 436,013.40 × 172,869.20
  4. Step 4: Simplify right side
    291,258.80x = 75,373,287,647.28
  5. Step 5: Solve for x
    x = 75,373,287,647.28/291,258.80
  6. Step 6: Final answer
    x = 258,784.58

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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.