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Finding the Fourth Proportional to 430,106.21, 645,290.53 and 219,891.77

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Solution

The fourth proportional to 430,106.21, 645,290.53 and 219,891.77 is: 329,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,106.21 : 645,290.53 = 219,891.77 : x
  2. Step 2: Convert to fraction form
    430,106.21/645,290.53 = 219,891.77/x
  3. Step 3: Cross multiply
    430,106.21x = 645,290.53 × 219,891.77
  4. Step 4: Simplify right side
    430,106.21x = 141,894,076,805.94
  5. Step 5: Solve for x
    x = 141,894,076,805.94/430,106.21
  6. Step 6: Final answer
    x = 329,904.74

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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.