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Finding the Fourth Proportional to 499,075.74, 688,846.92 and 284,342.43

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Solution

The fourth proportional to 499,075.74, 688,846.92 and 284,342.43 is: 392,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,075.74 : 688,846.92 = 284,342.43 : x
  2. Step 2: Convert to fraction form
    499,075.74/688,846.92 = 284,342.43/x
  3. Step 3: Cross multiply
    499,075.74x = 688,846.92 × 284,342.43
  4. Step 4: Simplify right side
    499,075.74x = 195,868,407,130.82
  5. Step 5: Solve for x
    x = 195,868,407,130.82/499,075.74
  6. Step 6: Final answer
    x = 392,462.29

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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.