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Finding the Fourth Proportional to 238,859.40, 358,289.10 and 164,209.80

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Solution

The fourth proportional to 238,859.40, 358,289.10 and 164,209.80 is: 246,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,859.40 : 358,289.10 = 164,209.80 : x
  2. Step 2: Convert to fraction form
    238,859.40/358,289.10 = 164,209.80/x
  3. Step 3: Cross multiply
    238,859.40x = 358,289.10 × 164,209.80
  4. Step 4: Simplify right side
    238,859.40x = 58,834,581,453.18
  5. Step 5: Solve for x
    x = 58,834,581,453.18/238,859.40
  6. Step 6: Final answer
    x = 246,314.70

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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.