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Finding the Fourth Proportional to 519,222, 716,526.36 and 280,758

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Solution

The fourth proportional to 519,222, 716,526.36 and 280,758 is: 387,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,222 : 716,526.36 = 280,758 : x
  2. Step 2: Convert to fraction form
    519,222/716,526.36 = 280,758/x
  3. Step 3: Cross multiply
    519,222x = 716,526.36 × 280,758
  4. Step 4: Simplify right side
    519,222x = 201,170,507,780.88
  5. Step 5: Solve for x
    x = 201,170,507,780.88/519,222
  6. Step 6: Final answer
    x = 387,446.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.