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Finding the Fourth Proportional to 430,929.20, 646,421.88 and 351,873.20

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Solution

The fourth proportional to 430,929.20, 646,421.88 and 351,873.20 is: 527,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,929.20 : 646,421.88 = 351,873.20 : x
  2. Step 2: Convert to fraction form
    430,929.20/646,421.88 = 351,873.20/x
  3. Step 3: Cross multiply
    430,929.20x = 646,421.88 × 351,873.20
  4. Step 4: Simplify right side
    430,929.20x = 227,458,535,465.62
  5. Step 5: Solve for x
    x = 227,458,535,465.62/430,929.20
  6. Step 6: Final answer
    x = 527,832.73

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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.