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Finding the Fourth Proportional to 354,726.16, 489,502.44 and 201,743.68

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Solution

The fourth proportional to 354,726.16, 489,502.44 and 201,743.68 is: 278,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,726.16 : 489,502.44 = 201,743.68 : x
  2. Step 2: Convert to fraction form
    354,726.16/489,502.44 = 201,743.68/x
  3. Step 3: Cross multiply
    354,726.16x = 489,502.44 × 201,743.68
  4. Step 4: Simplify right side
    354,726.16x = 98,754,023,614.58
  5. Step 5: Solve for x
    x = 98,754,023,614.58/354,726.16
  6. Step 6: Final answer
    x = 278,395.10

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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.