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Finding the Fourth Proportional to 429,924.60, 644,964.84 and 350,665.11

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Solution

The fourth proportional to 429,924.60, 644,964.84 and 350,665.11 is: 526,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,924.60 : 644,964.84 = 350,665.11 : x
  2. Step 2: Convert to fraction form
    429,924.60/644,964.84 = 350,665.11/x
  3. Step 3: Cross multiply
    429,924.60x = 644,964.84 × 350,665.11
  4. Step 4: Simplify right side
    429,924.60x = 226,166,666,564.73
  5. Step 5: Solve for x
    x = 226,166,666,564.73/429,924.60
  6. Step 6: Final answer
    x = 526,061.24

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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.