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Finding the Fourth Proportional to 630,291.70, 869,801.11 and 343,811.78

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Solution

The fourth proportional to 630,291.70, 869,801.11 and 343,811.78 is: 474,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,291.70 : 869,801.11 = 343,811.78 : x
  2. Step 2: Convert to fraction form
    630,291.70/869,801.11 = 343,811.78/x
  3. Step 3: Cross multiply
    630,291.70x = 869,801.11 × 343,811.78
  4. Step 4: Simplify right side
    630,291.70x = 299,047,867,875.08
  5. Step 5: Solve for x
    x = 299,047,867,875.08/630,291.70
  6. Step 6: Final answer
    x = 474,459.47

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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.