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Finding the Fourth Proportional to 525,408.40, 787,594.20 and 209,443.60

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Solution

The fourth proportional to 525,408.40, 787,594.20 and 209,443.60 is: 313,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,408.40 : 787,594.20 = 209,443.60 : x
  2. Step 2: Convert to fraction form
    525,408.40/787,594.20 = 209,443.60/x
  3. Step 3: Cross multiply
    525,408.40x = 787,594.20 × 209,443.60
  4. Step 4: Simplify right side
    525,408.40x = 164,956,564,587.12
  5. Step 5: Solve for x
    x = 164,956,564,587.12/525,408.40
  6. Step 6: Final answer
    x = 313,958.75

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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.