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Finding the Fourth Proportional to 538,347.71, 807,894.51 and 214,102.57

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Solution

The fourth proportional to 538,347.71, 807,894.51 and 214,102.57 is: 321,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,347.71 : 807,894.51 = 214,102.57 : x
  2. Step 2: Convert to fraction form
    538,347.71/807,894.51 = 214,102.57/x
  3. Step 3: Cross multiply
    538,347.71x = 807,894.51 × 214,102.57
  4. Step 4: Simplify right side
    538,347.71x = 172,972,289,809.38
  5. Step 5: Solve for x
    x = 172,972,289,809.38/538,347.71
  6. Step 6: Final answer
    x = 321,302.18

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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.