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Finding the Fourth Proportional to 630,350, 869,883 and 343,871.24

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Solution

The fourth proportional to 630,350, 869,883 and 343,871.24 is: 474,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,350 : 869,883 = 343,871.24 : x
  2. Step 2: Convert to fraction form
    630,350/869,883 = 343,871.24/x
  3. Step 3: Cross multiply
    630,350x = 869,883 × 343,871.24
  4. Step 4: Simplify right side
    630,350x = 299,127,745,864.92
  5. Step 5: Solve for x
    x = 299,127,745,864.92/630,350
  6. Step 6: Final answer
    x = 474,542.31

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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.