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Finding the Fourth Proportional to 478,361.10, 716,656.05 and 278,777.10

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Solution

The fourth proportional to 478,361.10, 716,656.05 and 278,777.10 is: 417,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,361.10 : 716,656.05 = 278,777.10 : x
  2. Step 2: Convert to fraction form
    478,361.10/716,656.05 = 278,777.10/x
  3. Step 3: Cross multiply
    478,361.10x = 716,656.05 × 278,777.10
  4. Step 4: Simplify right side
    478,361.10x = 199,787,295,316.46
  5. Step 5: Solve for x
    x = 199,787,295,316.46/478,361.10
  6. Step 6: Final answer
    x = 417,649.54

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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.