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Finding the Fourth Proportional to 286,954.40, 430,237.20 and 146,597.60

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Solution

The fourth proportional to 286,954.40, 430,237.20 and 146,597.60 is: 219,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,954.40 : 430,237.20 = 146,597.60 : x
  2. Step 2: Convert to fraction form
    286,954.40/430,237.20 = 146,597.60/x
  3. Step 3: Cross multiply
    286,954.40x = 430,237.20 × 146,597.60
  4. Step 4: Simplify right side
    286,954.40x = 63,071,740,950.72
  5. Step 5: Solve for x
    x = 63,071,740,950.72/286,954.40
  6. Step 6: Final answer
    x = 219,797.09

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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.