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Finding the Fourth Proportional to 429,929.66, 644,900.86 and 163,704.93

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Solution

The fourth proportional to 429,929.66, 644,900.86 and 163,704.93 is: 245,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,929.66 : 644,900.86 = 163,704.93 : x
  2. Step 2: Convert to fraction form
    429,929.66/644,900.86 = 163,704.93/x
  3. Step 3: Cross multiply
    429,929.66x = 644,900.86 × 163,704.93
  4. Step 4: Simplify right side
    429,929.66x = 105,573,450,143.24
  5. Step 5: Solve for x
    x = 105,573,450,143.24/429,929.66
  6. Step 6: Final answer
    x = 245,559.82

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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.