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Finding the Fourth Proportional to 429,445.80, 644,168.70 and 148,991.40

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Solution

The fourth proportional to 429,445.80, 644,168.70 and 148,991.40 is: 223,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,445.80 : 644,168.70 = 148,991.40 : x
  2. Step 2: Convert to fraction form
    429,445.80/644,168.70 = 148,991.40/x
  3. Step 3: Cross multiply
    429,445.80x = 644,168.70 × 148,991.40
  4. Step 4: Simplify right side
    429,445.80x = 95,975,596,449.18
  5. Step 5: Solve for x
    x = 95,975,596,449.18/429,445.80
  6. Step 6: Final answer
    x = 223,487.10

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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.