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Finding the Fourth Proportional to 509,572.35, 764,430.62 and 172,709.01

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Solution

The fourth proportional to 509,572.35, 764,430.62 and 172,709.01 is: 259,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,572.35 : 764,430.62 = 172,709.01 : x
  2. Step 2: Convert to fraction form
    509,572.35/764,430.62 = 172,709.01/x
  3. Step 3: Cross multiply
    509,572.35x = 764,430.62 × 172,709.01
  4. Step 4: Simplify right side
    509,572.35x = 132,024,054,730.34
  5. Step 5: Solve for x
    x = 132,024,054,730.34/509,572.35
  6. Step 6: Final answer
    x = 259,087.95

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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.