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Finding the Fourth Proportional to 472,751.60, 709,224.60 and 157,434.80

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Solution

The fourth proportional to 472,751.60, 709,224.60 and 157,434.80 is: 236,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,751.60 : 709,224.60 = 157,434.80 : x
  2. Step 2: Convert to fraction form
    472,751.60/709,224.60 = 157,434.80/x
  3. Step 3: Cross multiply
    472,751.60x = 709,224.60 × 157,434.80
  4. Step 4: Simplify right side
    472,751.60x = 111,656,633,056.08
  5. Step 5: Solve for x
    x = 111,656,633,056.08/472,751.60
  6. Step 6: Final answer
    x = 236,184.57

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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.