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Finding the Fourth Proportional to 387,053.89, 534,116.20 and 214,983.01

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Solution

The fourth proportional to 387,053.89, 534,116.20 and 214,983.01 is: 296,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,053.89 : 534,116.20 = 214,983.01 : x
  2. Step 2: Convert to fraction form
    387,053.89/534,116.20 = 214,983.01/x
  3. Step 3: Cross multiply
    387,053.89x = 534,116.20 × 214,983.01
  4. Step 4: Simplify right side
    387,053.89x = 114,825,909,503.68
  5. Step 5: Solve for x
    x = 114,825,909,503.68/387,053.89
  6. Step 6: Final answer
    x = 296,666.46

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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.