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Finding the Fourth Proportional to 429,416.10, 644,124.15 and 148,933.35

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Solution

The fourth proportional to 429,416.10, 644,124.15 and 148,933.35 is: 223,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,416.10 : 644,124.15 = 148,933.35 : x
  2. Step 2: Convert to fraction form
    429,416.10/644,124.15 = 148,933.35/x
  3. Step 3: Cross multiply
    429,416.10x = 644,124.15 × 148,933.35
  4. Step 4: Simplify right side
    429,416.10x = 95,931,567,475.40
  5. Step 5: Solve for x
    x = 95,931,567,475.40/429,416.10
  6. Step 6: Final answer
    x = 223,400.03

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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.