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Finding the Fourth Proportional to 563,284.59, 777,363.86 and 321,644.78

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Solution

The fourth proportional to 563,284.59, 777,363.86 and 321,644.78 is: 443,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,284.59 : 777,363.86 = 321,644.78 : x
  2. Step 2: Convert to fraction form
    563,284.59/777,363.86 = 321,644.78/x
  3. Step 3: Cross multiply
    563,284.59x = 777,363.86 × 321,644.78
  4. Step 4: Simplify right side
    563,284.59x = 250,035,030,477.17
  5. Step 5: Solve for x
    x = 250,035,030,477.17/563,284.59
  6. Step 6: Final answer
    x = 443,887.57

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1.5x scale

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.