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Finding the Fourth Proportional to 630,442.60, 869,978.82 and 343,960.36

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Solution

The fourth proportional to 630,442.60, 869,978.82 and 343,960.36 is: 474,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,442.60 : 869,978.82 = 343,960.36 : x
  2. Step 2: Convert to fraction form
    630,442.60/869,978.82 = 343,960.36/x
  3. Step 3: Cross multiply
    630,442.60x = 869,978.82 × 343,960.36
  4. Step 4: Simplify right side
    630,442.60x = 299,238,228,119.58
  5. Step 5: Solve for x
    x = 299,238,228,119.58/630,442.60
  6. Step 6: Final answer
    x = 474,647.86

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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.