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Finding the Fourth Proportional to 538,341.80, 806,516.40 and 313,809.80

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Solution

The fourth proportional to 538,341.80, 806,516.40 and 313,809.80 is: 470,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,341.80 : 806,516.40 = 313,809.80 : x
  2. Step 2: Convert to fraction form
    538,341.80/806,516.40 = 313,809.80/x
  3. Step 3: Cross multiply
    538,341.80x = 806,516.40 × 313,809.80
  4. Step 4: Simplify right side
    538,341.80x = 253,092,750,180.72
  5. Step 5: Solve for x
    x = 253,092,750,180.72/538,341.80
  6. Step 6: Final answer
    x = 470,133.94

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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.