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Finding the Fourth Proportional to 456,597.27, 630,280.85 and 408,767.58

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Solution

The fourth proportional to 456,597.27, 630,280.85 and 408,767.58 is: 564,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,597.27 : 630,280.85 = 408,767.58 : x
  2. Step 2: Convert to fraction form
    456,597.27/630,280.85 = 408,767.58/x
  3. Step 3: Cross multiply
    456,597.27x = 630,280.85 × 408,767.58
  4. Step 4: Simplify right side
    456,597.27x = 257,638,375,731.01
  5. Step 5: Solve for x
    x = 257,638,375,731.01/456,597.27
  6. Step 6: Final answer
    x = 564,257.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.