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Finding the Fourth Proportional to 472,742.60, 709,120.04 and 157,199.49

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Solution

The fourth proportional to 472,742.60, 709,120.04 and 157,199.49 is: 235,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,742.60 : 709,120.04 = 157,199.49 : x
  2. Step 2: Convert to fraction form
    472,742.60/709,120.04 = 157,199.49/x
  3. Step 3: Cross multiply
    472,742.60x = 709,120.04 × 157,199.49
  4. Step 4: Simplify right side
    472,742.60x = 111,473,307,850.78
  5. Step 5: Solve for x
    x = 111,473,307,850.78/472,742.60
  6. Step 6: Final answer
    x = 235,801.28

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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.