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Finding the Fourth Proportional to 355,614.21, 533,838.06 and 280,784.79

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Solution

The fourth proportional to 355,614.21, 533,838.06 and 280,784.79 is: 421,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,614.21 : 533,838.06 = 280,784.79 : x
  2. Step 2: Convert to fraction form
    355,614.21/533,838.06 = 280,784.79/x
  3. Step 3: Cross multiply
    355,614.21x = 533,838.06 × 280,784.79
  4. Step 4: Simplify right side
    355,614.21x = 149,893,607,571.11
  5. Step 5: Solve for x
    x = 149,893,607,571.11/355,614.21
  6. Step 6: Final answer
    x = 421,506.24

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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.