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Finding the Fourth Proportional to 469,903.71, 648,172.09 and 278,781.75

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Solution

The fourth proportional to 469,903.71, 648,172.09 and 278,781.75 is: 384,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,903.71 : 648,172.09 = 278,781.75 : x
  2. Step 2: Convert to fraction form
    469,903.71/648,172.09 = 278,781.75/x
  3. Step 3: Cross multiply
    469,903.71x = 648,172.09 × 278,781.75
  4. Step 4: Simplify right side
    469,903.71x = 180,698,549,551.36
  5. Step 5: Solve for x
    x = 180,698,549,551.36/469,903.71
  6. Step 6: Final answer
    x = 384,543.78

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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.