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Finding the Fourth Proportional to 219,810.40, 329,715.60 and 144,966.40

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Solution

The fourth proportional to 219,810.40, 329,715.60 and 144,966.40 is: 217,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,810.40 : 329,715.60 = 144,966.40 : x
  2. Step 2: Convert to fraction form
    219,810.40/329,715.60 = 144,966.40/x
  3. Step 3: Cross multiply
    219,810.40x = 329,715.60 × 144,966.40
  4. Step 4: Simplify right side
    219,810.40x = 47,797,683,555.84
  5. Step 5: Solve for x
    x = 47,797,683,555.84/219,810.40
  6. Step 6: Final answer
    x = 217,449.60

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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.