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Finding the Fourth Proportional to 349,704, 524,644.56 and 100,386

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Solution

The fourth proportional to 349,704, 524,644.56 and 100,386 is: 150,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,704 : 524,644.56 = 100,386 : x
  2. Step 2: Convert to fraction form
    349,704/524,644.56 = 100,386/x
  3. Step 3: Cross multiply
    349,704x = 524,644.56 × 100,386
  4. Step 4: Simplify right side
    349,704x = 52,666,968,800.16
  5. Step 5: Solve for x
    x = 52,666,968,800.16/349,704
  6. Step 6: Final answer
    x = 150,604.42

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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.