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Finding the Fourth Proportional to 280,918.13, 421,419.11 and 103,411.49

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Solution

The fourth proportional to 280,918.13, 421,419.11 and 103,411.49 is: 155,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,918.13 : 421,419.11 = 103,411.49 : x
  2. Step 2: Convert to fraction form
    280,918.13/421,419.11 = 103,411.49/x
  3. Step 3: Cross multiply
    280,918.13x = 421,419.11 × 103,411.49
  4. Step 4: Simplify right side
    280,918.13x = 43,579,575,455.42
  5. Step 5: Solve for x
    x = 43,579,575,455.42/280,918.13
  6. Step 6: Final answer
    x = 155,132.66

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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.