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Finding the Fourth Proportional to 519,133, 716,403.70 and 280,669

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Solution

The fourth proportional to 519,133, 716,403.70 and 280,669 is: 387,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,133 : 716,403.70 = 280,669 : x
  2. Step 2: Convert to fraction form
    519,133/716,403.70 = 280,669/x
  3. Step 3: Cross multiply
    519,133x = 716,403.70 × 280,669
  4. Step 4: Simplify right side
    519,133x = 201,072,310,075.30
  5. Step 5: Solve for x
    x = 201,072,310,075.30/519,133
  6. Step 6: Final answer
    x = 387,323.31

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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.