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Finding the Fourth Proportional to 978,032.10, 1,467,048.15 and 417,123.30

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Solution

The fourth proportional to 978,032.10, 1,467,048.15 and 417,123.30 is: 625,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,032.10 : 1,467,048.15 = 417,123.30 : x
  2. Step 2: Convert to fraction form
    978,032.10/1,467,048.15 = 417,123.30/x
  3. Step 3: Cross multiply
    978,032.10x = 1,467,048.15 × 417,123.30
  4. Step 4: Simplify right side
    978,032.10x = 611,939,965,586.90
  5. Step 5: Solve for x
    x = 611,939,965,586.90/978,032.10
  6. Step 6: Final answer
    x = 625,684.95

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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.