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Finding the Fourth Proportional to 283,107.40, 424,661.10 and 103,206.32

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Solution

The fourth proportional to 283,107.40, 424,661.10 and 103,206.32 is: 154,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,107.40 : 424,661.10 = 103,206.32 : x
  2. Step 2: Convert to fraction form
    283,107.40/424,661.10 = 103,206.32/x
  3. Step 3: Cross multiply
    283,107.40x = 424,661.10 × 103,206.32
  4. Step 4: Simplify right side
    283,107.40x = 43,827,706,867.82
  5. Step 5: Solve for x
    x = 43,827,706,867.82/283,107.40
  6. Step 6: Final answer
    x = 154,809.47

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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.