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Finding the Fourth Proportional to 492,054.90, 738,082.35 and 448,509.30

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Solution

The fourth proportional to 492,054.90, 738,082.35 and 448,509.30 is: 672,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,054.90 : 738,082.35 = 448,509.30 : x
  2. Step 2: Convert to fraction form
    492,054.90/738,082.35 = 448,509.30/x
  3. Step 3: Cross multiply
    492,054.90x = 738,082.35 × 448,509.30
  4. Step 4: Simplify right side
    492,054.90x = 331,036,798,140.86
  5. Step 5: Solve for x
    x = 331,036,798,140.86/492,054.90
  6. Step 6: Final answer
    x = 672,763.95

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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.