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Finding the Fourth Proportional to 354,737.28, 531,643.86 and 144,129

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Solution

The fourth proportional to 354,737.28, 531,643.86 and 144,129 is: 216,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,737.28 : 531,643.86 = 144,129 : x
  2. Step 2: Convert to fraction form
    354,737.28/531,643.86 = 144,129/x
  3. Step 3: Cross multiply
    354,737.28x = 531,643.86 × 144,129
  4. Step 4: Simplify right side
    354,737.28x = 76,625,297,897.94
  5. Step 5: Solve for x
    x = 76,625,297,897.94/354,737.28
  6. Step 6: Final answer
    x = 216,005.77

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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.