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Finding the Fourth Proportional to 509,138.40, 763,707.60 and 477,645.60

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Solution

The fourth proportional to 509,138.40, 763,707.60 and 477,645.60 is: 716,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,138.40 : 763,707.60 = 477,645.60 : x
  2. Step 2: Convert to fraction form
    509,138.40/763,707.60 = 477,645.60/x
  3. Step 3: Cross multiply
    509,138.40x = 763,707.60 × 477,645.60
  4. Step 4: Simplify right side
    509,138.40x = 364,781,574,826.56
  5. Step 5: Solve for x
    x = 364,781,574,826.56/509,138.40
  6. Step 6: Final answer
    x = 716,468.40

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Similar ratio
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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.