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Finding the Fourth Proportional to 478,076.87, 716,886.59 and 278,454.20

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Solution

The fourth proportional to 478,076.87, 716,886.59 and 278,454.20 is: 417,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,076.87 : 716,886.59 = 278,454.20 : x
  2. Step 2: Convert to fraction form
    478,076.87/716,886.59 = 278,454.20/x
  3. Step 3: Cross multiply
    478,076.87x = 716,886.59 × 278,454.20
  4. Step 4: Simplify right side
    478,076.87x = 199,620,076,932.47
  5. Step 5: Solve for x
    x = 199,620,076,932.47/478,076.87
  6. Step 6: Final answer
    x = 417,548.07

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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.