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Finding the Fourth Proportional to 316,905.70, 475,358.55 and 130,051.30

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Solution

The fourth proportional to 316,905.70, 475,358.55 and 130,051.30 is: 195,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,905.70 : 475,358.55 = 130,051.30 : x
  2. Step 2: Convert to fraction form
    316,905.70/475,358.55 = 130,051.30/x
  3. Step 3: Cross multiply
    316,905.70x = 475,358.55 × 130,051.30
  4. Step 4: Simplify right side
    316,905.70x = 61,820,997,393.62
  5. Step 5: Solve for x
    x = 61,820,997,393.62/316,905.70
  6. Step 6: Final answer
    x = 195,076.95

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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.