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Finding the Fourth Proportional to 563,142.54, 777,192.42 and 321,461.46

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Solution

The fourth proportional to 563,142.54, 777,192.42 and 321,461.46 is: 443,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,142.54 : 777,192.42 = 321,461.46 : x
  2. Step 2: Convert to fraction form
    563,142.54/777,192.42 = 321,461.46/x
  3. Step 3: Cross multiply
    563,142.54x = 777,192.42 × 321,461.46
  4. Step 4: Simplify right side
    563,142.54x = 249,837,410,034.13
  5. Step 5: Solve for x
    x = 249,837,410,034.13/563,142.54
  6. Step 6: Final answer
    x = 443,648.62

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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.