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Finding the Fourth Proportional to 478,090.88, 716,907.59 and 278,468.20

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Solution

The fourth proportional to 478,090.88, 716,907.59 and 278,468.20 is: 417,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,090.88 : 716,907.59 = 278,468.20 : x
  2. Step 2: Convert to fraction form
    478,090.88/716,907.59 = 278,468.20/x
  3. Step 3: Cross multiply
    478,090.88x = 716,907.59 × 278,468.20
  4. Step 4: Simplify right side
    478,090.88x = 199,635,964,761.30
  5. Step 5: Solve for x
    x = 199,635,964,761.30/478,090.88
  6. Step 6: Final answer
    x = 417,569.07

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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.