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Finding the Fourth Proportional to 286,967.40, 430,256.70 and 146,610.60

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Solution

The fourth proportional to 286,967.40, 430,256.70 and 146,610.60 is: 219,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,967.40 : 430,256.70 = 146,610.60 : x
  2. Step 2: Convert to fraction form
    286,967.40/430,256.70 = 146,610.60/x
  3. Step 3: Cross multiply
    286,967.40x = 430,256.70 × 146,610.60
  4. Step 4: Simplify right side
    286,967.40x = 63,080,192,941.02
  5. Step 5: Solve for x
    x = 63,080,192,941.02/286,967.40
  6. Step 6: Final answer
    x = 219,816.58

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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.