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Finding the Fourth Proportional to 630,309.27, 869,825.76 and 343,829.36

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Solution

The fourth proportional to 630,309.27, 869,825.76 and 343,829.36 is: 474,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,309.27 : 869,825.76 = 343,829.36 : x
  2. Step 2: Convert to fraction form
    630,309.27/869,825.76 = 343,829.36/x
  3. Step 3: Cross multiply
    630,309.27x = 869,825.76 × 343,829.36
  4. Step 4: Simplify right side
    630,309.27x = 299,071,633,265.81
  5. Step 5: Solve for x
    x = 299,071,633,265.81/630,309.27
  6. Step 6: Final answer
    x = 474,483.95

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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.