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Finding the Fourth Proportional to 509,409.60, 764,464.14 and 176,985.60

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Solution

The fourth proportional to 509,409.60, 764,464.14 and 176,985.60 is: 265,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,409.60 : 764,464.14 = 176,985.60 : x
  2. Step 2: Convert to fraction form
    509,409.60/764,464.14 = 176,985.60/x
  3. Step 3: Cross multiply
    509,409.60x = 764,464.14 × 176,985.60
  4. Step 4: Simplify right side
    509,409.60x = 135,299,144,496.38
  5. Step 5: Solve for x
    x = 135,299,144,496.38/509,409.60
  6. Step 6: Final answer
    x = 265,599.91

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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.