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Finding the Fourth Proportional to 472,105.80, 706,430.70 and 347,689.80

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Solution

The fourth proportional to 472,105.80, 706,430.70 and 347,689.80 is: 520,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,105.80 : 706,430.70 = 347,689.80 : x
  2. Step 2: Convert to fraction form
    472,105.80/706,430.70 = 347,689.80/x
  3. Step 3: Cross multiply
    472,105.80x = 706,430.70 × 347,689.80
  4. Step 4: Simplify right side
    472,105.80x = 245,618,748,796.86
  5. Step 5: Solve for x
    x = 245,618,748,796.86/472,105.80
  6. Step 6: Final answer
    x = 520,262.09

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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.