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Finding the Fourth Proportional to 429,846.40, 645,458.10 and 341,831.80

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Solution

The fourth proportional to 429,846.40, 645,458.10 and 341,831.80 is: 513,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,846.40 : 645,458.10 = 341,831.80 : x
  2. Step 2: Convert to fraction form
    429,846.40/645,458.10 = 341,831.80/x
  3. Step 3: Cross multiply
    429,846.40x = 645,458.10 × 341,831.80
  4. Step 4: Simplify right side
    429,846.40x = 220,638,104,147.58
  5. Step 5: Solve for x
    x = 220,638,104,147.58/429,846.40
  6. Step 6: Final answer
    x = 513,295.22

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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.