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Finding the Fourth Proportional to 563,147.76, 777,199.68 and 321,466.71

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Solution

The fourth proportional to 563,147.76, 777,199.68 and 321,466.71 is: 443,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,147.76 : 777,199.68 = 321,466.71 : x
  2. Step 2: Convert to fraction form
    563,147.76/777,199.68 = 321,466.71/x
  3. Step 3: Cross multiply
    563,147.76x = 777,199.68 × 321,466.71
  4. Step 4: Simplify right side
    563,147.76x = 249,843,824,142.65
  5. Step 5: Solve for x
    x = 249,843,824,142.65/563,147.76
  6. Step 6: Final answer
    x = 443,655.90

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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.