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Finding the Fourth Proportional to 418,989.04, 628,484.84 and 103,446

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Solution

The fourth proportional to 418,989.04, 628,484.84 and 103,446 is: 155,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,989.04 : 628,484.84 = 103,446 : x
  2. Step 2: Convert to fraction form
    418,989.04/628,484.84 = 103,446/x
  3. Step 3: Cross multiply
    418,989.04x = 628,484.84 × 103,446
  4. Step 4: Simplify right side
    418,989.04x = 65,014,242,758.64
  5. Step 5: Solve for x
    x = 65,014,242,758.64/418,989.04
  6. Step 6: Final answer
    x = 155,169.32

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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.