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Finding the Fourth Proportional to 321,931.88, 482,989.98 and 155,813.48

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Solution

The fourth proportional to 321,931.88, 482,989.98 and 155,813.48 is: 233,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,931.88 : 482,989.98 = 155,813.48 : x
  2. Step 2: Convert to fraction form
    321,931.88/482,989.98 = 155,813.48/x
  3. Step 3: Cross multiply
    321,931.88x = 482,989.98 × 155,813.48
  4. Step 4: Simplify right side
    321,931.88x = 75,256,349,588.93
  5. Step 5: Solve for x
    x = 75,256,349,588.93/321,931.88
  6. Step 6: Final answer
    x = 233,764.82

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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.