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Finding the Fourth Proportional to 286,774.30, 430,172.40 and 106,904.49

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Solution

The fourth proportional to 286,774.30, 430,172.40 and 106,904.49 is: 160,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,774.30 : 430,172.40 = 106,904.49 : x
  2. Step 2: Convert to fraction form
    286,774.30/430,172.40 = 106,904.49/x
  3. Step 3: Cross multiply
    286,774.30x = 430,172.40 × 106,904.49
  4. Step 4: Simplify right side
    286,774.30x = 45,987,361,034.08
  5. Step 5: Solve for x
    x = 45,987,361,034.08/286,774.30
  6. Step 6: Final answer
    x = 160,360.82

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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.