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Finding the Fourth Proportional to 509,798.20, 764,697.30 and 438,939.40

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Solution

The fourth proportional to 509,798.20, 764,697.30 and 438,939.40 is: 658,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,798.20 : 764,697.30 = 438,939.40 : x
  2. Step 2: Convert to fraction form
    509,798.20/764,697.30 = 438,939.40/x
  3. Step 3: Cross multiply
    509,798.20x = 764,697.30 × 438,939.40
  4. Step 4: Simplify right side
    509,798.20x = 335,655,774,043.62
  5. Step 5: Solve for x
    x = 335,655,774,043.62/509,798.20
  6. Step 6: Final answer
    x = 658,409.10

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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.