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Finding the Fourth Proportional to 490,052.77, 735,106.79 and 174,509.71

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Solution

The fourth proportional to 490,052.77, 735,106.79 and 174,509.71 is: 261,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,052.77 : 735,106.79 = 174,509.71 : x
  2. Step 2: Convert to fraction form
    490,052.77/735,106.79 = 174,509.71/x
  3. Step 3: Cross multiply
    490,052.77x = 735,106.79 × 174,509.71
  4. Step 4: Simplify right side
    490,052.77x = 128,283,271,340.44
  5. Step 5: Solve for x
    x = 128,283,271,340.44/490,052.77
  6. Step 6: Final answer
    x = 261,774.40

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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.