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Finding the Fourth Proportional to 469,732.87, 648,399.47 and 278,746.21

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Solution

The fourth proportional to 469,732.87, 648,399.47 and 278,746.21 is: 384,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732.87 : 648,399.47 = 278,746.21 : x
  2. Step 2: Convert to fraction form
    469,732.87/648,399.47 = 278,746.21/x
  3. Step 3: Cross multiply
    469,732.87x = 648,399.47 × 278,746.21
  4. Step 4: Simplify right side
    469,732.87x = 180,738,893,434.78
  5. Step 5: Solve for x
    x = 180,738,893,434.78/469,732.87
  6. Step 6: Final answer
    x = 384,769.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.