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Finding the Fourth Proportional to 219,159.40, 328,868.70 and 144,495.40

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Solution

The fourth proportional to 219,159.40, 328,868.70 and 144,495.40 is: 216,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,159.40 : 328,868.70 = 144,495.40 : x
  2. Step 2: Convert to fraction form
    219,159.40/328,868.70 = 144,495.40/x
  3. Step 3: Cross multiply
    219,159.40x = 328,868.70 × 144,495.40
  4. Step 4: Simplify right side
    219,159.40x = 47,520,014,353.98
  5. Step 5: Solve for x
    x = 47,520,014,353.98/219,159.40
  6. Step 6: Final answer
    x = 216,828.55

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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.