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Finding the Fourth Proportional to 354,901.50, 532,089.81 and 214,628.94

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Solution

The fourth proportional to 354,901.50, 532,089.81 and 214,628.94 is: 321,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 532,089.81 = 214,628.94 : x
  2. Step 2: Convert to fraction form
    354,901.50/532,089.81 = 214,628.94/x
  3. Step 3: Cross multiply
    354,901.50x = 532,089.81 × 214,628.94
  4. Step 4: Simplify right side
    354,901.50x = 114,201,871,905.10
  5. Step 5: Solve for x
    x = 114,201,871,905.10/354,901.50
  6. Step 6: Final answer
    x = 321,784.70

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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.