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Finding the Fourth Proportional to 472,708.70, 652,314.03 and 257,847.02

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Solution

The fourth proportional to 472,708.70, 652,314.03 and 257,847.02 is: 355,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,708.70 : 652,314.03 = 257,847.02 : x
  2. Step 2: Convert to fraction form
    472,708.70/652,314.03 = 257,847.02/x
  3. Step 3: Cross multiply
    472,708.70x = 652,314.03 × 257,847.02
  4. Step 4: Simplify right side
    472,708.70x = 168,197,228,739.69
  5. Step 5: Solve for x
    x = 168,197,228,739.69/472,708.70
  6. Step 6: Final answer
    x = 355,815.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.