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Finding the Fourth Proportional to 429,854.40, 645,437.70 and 330,127.20

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Solution

The fourth proportional to 429,854.40, 645,437.70 and 330,127.20 is: 495,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,854.40 : 645,437.70 = 330,127.20 : x
  2. Step 2: Convert to fraction form
    429,854.40/645,437.70 = 330,127.20/x
  3. Step 3: Cross multiply
    429,854.40x = 645,437.70 × 330,127.20
  4. Step 4: Simplify right side
    429,854.40x = 213,076,540,675.44
  5. Step 5: Solve for x
    x = 213,076,540,675.44/429,854.40
  6. Step 6: Final answer
    x = 495,694.68

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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.