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Finding the Fourth Proportional to 763,043, 1,144,288.02 and 342,102.20

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Solution

The fourth proportional to 763,043, 1,144,288.02 and 342,102.20 is: 513,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,043 : 1,144,288.02 = 342,102.20 : x
  2. Step 2: Convert to fraction form
    763,043/1,144,288.02 = 342,102.20/x
  3. Step 3: Cross multiply
    763,043x = 1,144,288.02 × 342,102.20
  4. Step 4: Simplify right side
    763,043x = 391,463,449,075.64
  5. Step 5: Solve for x
    x = 391,463,449,075.64/763,043
  6. Step 6: Final answer
    x = 513,029.34

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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.