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Finding the Fourth Proportional to 390,143.76, 538,398.38 and 211,295.76

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Solution

The fourth proportional to 390,143.76, 538,398.38 and 211,295.76 is: 291,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,143.76 : 538,398.38 = 211,295.76 : x
  2. Step 2: Convert to fraction form
    390,143.76/538,398.38 = 211,295.76/x
  3. Step 3: Cross multiply
    390,143.76x = 538,398.38 × 211,295.76
  4. Step 4: Simplify right side
    390,143.76x = 113,761,294,884.87
  5. Step 5: Solve for x
    x = 113,761,294,884.87/390,143.76
  6. Step 6: Final answer
    x = 291,588.14

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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.