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Finding the Fourth Proportional to 428,803.23, 643,073.07 and 296,533.47

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Solution

The fourth proportional to 428,803.23, 643,073.07 and 296,533.47 is: 444,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,803.23 : 643,073.07 = 296,533.47 : x
  2. Step 2: Convert to fraction form
    428,803.23/643,073.07 = 296,533.47/x
  3. Step 3: Cross multiply
    428,803.23x = 643,073.07 × 296,533.47
  4. Step 4: Simplify right side
    428,803.23x = 190,692,688,910.65
  5. Step 5: Solve for x
    x = 190,692,688,910.65/428,803.23
  6. Step 6: Final answer
    x = 444,709.08

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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.