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Finding the Fourth Proportional to 563,018.76, 776,978.46 and 321,296.52

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Solution

The fourth proportional to 563,018.76, 776,978.46 and 321,296.52 is: 443,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,018.76 : 776,978.46 = 321,296.52 : x
  2. Step 2: Convert to fraction form
    563,018.76/776,978.46 = 321,296.52/x
  3. Step 3: Cross multiply
    563,018.76x = 776,978.46 × 321,296.52
  4. Step 4: Simplify right side
    563,018.76x = 249,640,475,312.96
  5. Step 5: Solve for x
    x = 249,640,475,312.96/563,018.76
  6. Step 6: Final answer
    x = 443,396.37

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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.