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Finding the Fourth Proportional to 429,937.60, 644,911.80 and 130,421.20

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Solution

The fourth proportional to 429,937.60, 644,911.80 and 130,421.20 is: 195,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,937.60 : 644,911.80 = 130,421.20 : x
  2. Step 2: Convert to fraction form
    429,937.60/644,911.80 = 130,421.20/x
  3. Step 3: Cross multiply
    429,937.60x = 644,911.80 × 130,421.20
  4. Step 4: Simplify right side
    429,937.60x = 84,110,170,850.16
  5. Step 5: Solve for x
    x = 84,110,170,850.16/429,937.60
  6. Step 6: Final answer
    x = 195,633.44

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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.