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Finding the Fourth Proportional to 429,017.86, 643,274.46 and 162,797.11

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Solution

The fourth proportional to 429,017.86, 643,274.46 and 162,797.11 is: 244,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,017.86 : 643,274.46 = 162,797.11 : x
  2. Step 2: Convert to fraction form
    429,017.86/643,274.46 = 162,797.11/x
  3. Step 3: Cross multiply
    429,017.86x = 643,274.46 × 162,797.11
  4. Step 4: Simplify right side
    429,017.86x = 104,723,223,024.81
  5. Step 5: Solve for x
    x = 104,723,223,024.81/429,017.86
  6. Step 6: Final answer
    x = 244,099.91

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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.