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Finding the Fourth Proportional to 219,130.40, 328,112.40 and 139,815.20

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Solution

The fourth proportional to 219,130.40, 328,112.40 and 139,815.20 is: 209,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,130.40 : 328,112.40 = 139,815.20 : x
  2. Step 2: Convert to fraction form
    219,130.40/328,112.40 = 139,815.20/x
  3. Step 3: Cross multiply
    219,130.40x = 328,112.40 × 139,815.20
  4. Step 4: Simplify right side
    219,130.40x = 45,875,100,828.48
  5. Step 5: Solve for x
    x = 45,875,100,828.48/219,130.40
  6. Step 6: Final answer
    x = 209,350.69

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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.