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Finding the Fourth Proportional to 290,051.13, 435,059.10 and 172,470.72

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Solution

The fourth proportional to 290,051.13, 435,059.10 and 172,470.72 is: 258,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,051.13 : 435,059.10 = 172,470.72 : x
  2. Step 2: Convert to fraction form
    290,051.13/435,059.10 = 172,470.72/x
  3. Step 3: Cross multiply
    290,051.13x = 435,059.10 × 172,470.72
  4. Step 4: Simplify right side
    290,051.13x = 75,034,956,219.55
  5. Step 5: Solve for x
    x = 75,034,956,219.55/290,051.13
  6. Step 6: Final answer
    x = 258,695.62

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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.