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Finding the Fourth Proportional to 509,606.52, 764,483.18 and 189,731.23

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Solution

The fourth proportional to 509,606.52, 764,483.18 and 189,731.23 is: 284,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,606.52 : 764,483.18 = 189,731.23 : x
  2. Step 2: Convert to fraction form
    509,606.52/764,483.18 = 189,731.23/x
  3. Step 3: Cross multiply
    509,606.52x = 764,483.18 × 189,731.23
  4. Step 4: Simplify right side
    509,606.52x = 145,046,334,055.71
  5. Step 5: Solve for x
    x = 145,046,334,055.71/509,606.52
  6. Step 6: Final answer
    x = 284,624.17

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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.