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Finding the Fourth Proportional to 519,905.28, 780,168.64 and 477,603.84

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Solution

The fourth proportional to 519,905.28, 780,168.64 and 477,603.84 is: 716,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,905.28 : 780,168.64 = 477,603.84 : x
  2. Step 2: Convert to fraction form
    519,905.28/780,168.64 = 477,603.84/x
  3. Step 3: Cross multiply
    519,905.28x = 780,168.64 × 477,603.84
  4. Step 4: Simplify right side
    519,905.28x = 372,611,538,311.58
  5. Step 5: Solve for x
    x = 372,611,538,311.58/519,905.28
  6. Step 6: Final answer
    x = 716,691.20

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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.