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Finding the Fourth Proportional to 349,864.40, 524,489.40 and 209,678.80

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Solution

The fourth proportional to 349,864.40, 524,489.40 and 209,678.80 is: 314,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,864.40 : 524,489.40 = 209,678.80 : x
  2. Step 2: Convert to fraction form
    349,864.40/524,489.40 = 209,678.80/x
  3. Step 3: Cross multiply
    349,864.40x = 524,489.40 × 209,678.80
  4. Step 4: Simplify right side
    349,864.40x = 109,974,308,004.72
  5. Step 5: Solve for x
    x = 109,974,308,004.72/349,864.40
  6. Step 6: Final answer
    x = 314,334.09

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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.