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Finding the Fourth Proportional to 542,945.90, 749,300.78 and 313,512.86

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Solution

The fourth proportional to 542,945.90, 749,300.78 and 313,512.86 is: 432,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,945.90 : 749,300.78 = 313,512.86 : x
  2. Step 2: Convert to fraction form
    542,945.90/749,300.78 = 313,512.86/x
  3. Step 3: Cross multiply
    542,945.90x = 749,300.78 × 313,512.86
  4. Step 4: Simplify right side
    542,945.90x = 234,915,430,538.03
  5. Step 5: Solve for x
    x = 234,915,430,538.03/542,945.90
  6. Step 6: Final answer
    x = 432,668.21

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1.5x scale

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.