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Finding the Fourth Proportional to 393,356.21, 542,308.92 and 257,155.98

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Solution

The fourth proportional to 393,356.21, 542,308.92 and 257,155.98 is: 354,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,356.21 : 542,308.92 = 257,155.98 : x
  2. Step 2: Convert to fraction form
    393,356.21/542,308.92 = 257,155.98/x
  3. Step 3: Cross multiply
    393,356.21x = 542,308.92 × 257,155.98
  4. Step 4: Simplify right side
    393,356.21x = 139,457,981,785.34
  5. Step 5: Solve for x
    x = 139,457,981,785.34/393,356.21
  6. Step 6: Final answer
    x = 354,533.57

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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.