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Finding the Fourth Proportional to 509,931.60, 764,970.30 and 172,987.80

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Solution

The fourth proportional to 509,931.60, 764,970.30 and 172,987.80 is: 259,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,931.60 : 764,970.30 = 172,987.80 : x
  2. Step 2: Convert to fraction form
    509,931.60/764,970.30 = 172,987.80/x
  3. Step 3: Cross multiply
    509,931.60x = 764,970.30 × 172,987.80
  4. Step 4: Simplify right side
    509,931.60x = 132,330,529,262.34
  5. Step 5: Solve for x
    x = 132,330,529,262.34/509,931.60
  6. Step 6: Final answer
    x = 259,506.43

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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.