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Finding the Fourth Proportional to 429,758.75, 644,566.63 and 130,168.10

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Solution

The fourth proportional to 429,758.75, 644,566.63 and 130,168.10 is: 195,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,758.75 : 644,566.63 = 130,168.10 : x
  2. Step 2: Convert to fraction form
    429,758.75/644,566.63 = 130,168.10/x
  3. Step 3: Cross multiply
    429,758.75x = 644,566.63 × 130,168.10
  4. Step 4: Simplify right side
    429,758.75x = 83,902,013,550.50
  5. Step 5: Solve for x
    x = 83,902,013,550.50/429,758.75
  6. Step 6: Final answer
    x = 195,230.50

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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.