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Finding the Fourth Proportional to 410,385.34, 615,772.96 and 284,219.74

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Solution

The fourth proportional to 410,385.34, 615,772.96 and 284,219.74 is: 426,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,385.34 : 615,772.96 = 284,219.74 : x
  2. Step 2: Convert to fraction form
    410,385.34/615,772.96 = 284,219.74/x
  3. Step 3: Cross multiply
    410,385.34x = 615,772.96 × 284,219.74
  4. Step 4: Simplify right side
    410,385.34x = 175,014,830,590.23
  5. Step 5: Solve for x
    x = 175,014,830,590.23/410,385.34
  6. Step 6: Final answer
    x = 426,464.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.