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Finding the Fourth Proportional to 457,200, 630,936 and 256,000.32

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Solution

The fourth proportional to 457,200, 630,936 and 256,000.32 is: 353,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,200 : 630,936 = 256,000.32 : x
  2. Step 2: Convert to fraction form
    457,200/630,936 = 256,000.32/x
  3. Step 3: Cross multiply
    457,200x = 630,936 × 256,000.32
  4. Step 4: Simplify right side
    457,200x = 161,519,817,899.52
  5. Step 5: Solve for x
    x = 161,519,817,899.52/457,200
  6. Step 6: Final answer
    x = 353,280.44

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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.