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Finding the Fourth Proportional to 311,931.49, 467,897.12 and 122,481

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Solution

The fourth proportional to 311,931.49, 467,897.12 and 122,481 is: 183,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931.49 : 467,897.12 = 122,481 : x
  2. Step 2: Convert to fraction form
    311,931.49/467,897.12 = 122,481/x
  3. Step 3: Cross multiply
    311,931.49x = 467,897.12 × 122,481
  4. Step 4: Simplify right side
    311,931.49x = 57,308,507,154.72
  5. Step 5: Solve for x
    x = 57,308,507,154.72/311,931.49
  6. Step 6: Final answer
    x = 183,721.45

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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.