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Finding the Fourth Proportional to 429,957.23, 644,950.62 and 193,300.74

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Solution

The fourth proportional to 429,957.23, 644,950.62 and 193,300.74 is: 289,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,957.23 : 644,950.62 = 193,300.74 : x
  2. Step 2: Convert to fraction form
    429,957.23/644,950.62 = 193,300.74/x
  3. Step 3: Cross multiply
    429,957.23x = 644,950.62 × 193,300.74
  4. Step 4: Simplify right side
    429,957.23x = 124,669,432,109.46
  5. Step 5: Solve for x
    x = 124,669,432,109.46/429,957.23
  6. Step 6: Final answer
    x = 289,957.76

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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.