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Finding the Fourth Proportional to 290,563.10, 436,500.77 and 172,312.01

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Solution

The fourth proportional to 290,563.10, 436,500.77 and 172,312.01 is: 258,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,563.10 : 436,500.77 = 172,312.01 : x
  2. Step 2: Convert to fraction form
    290,563.10/436,500.77 = 172,312.01/x
  3. Step 3: Cross multiply
    290,563.10x = 436,500.77 × 172,312.01
  4. Step 4: Simplify right side
    290,563.10x = 75,214,323,293.52
  5. Step 5: Solve for x
    x = 75,214,323,293.52/290,563.10
  6. Step 6: Final answer
    x = 258,857.11

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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.