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Finding the Fourth Proportional to 519,128, 716,396.80 and 280,664

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Solution

The fourth proportional to 519,128, 716,396.80 and 280,664 is: 387,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,128 : 716,396.80 = 280,664 : x
  2. Step 2: Convert to fraction form
    519,128/716,396.80 = 280,664/x
  3. Step 3: Cross multiply
    519,128x = 716,396.80 × 280,664
  4. Step 4: Simplify right side
    519,128x = 201,066,791,475.20
  5. Step 5: Solve for x
    x = 201,066,791,475.20/519,128
  6. Step 6: Final answer
    x = 387,316.41

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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.