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Finding the Fourth Proportional to 284,943.80, 427,415.70 and 272,809.40

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Solution

The fourth proportional to 284,943.80, 427,415.70 and 272,809.40 is: 409,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,943.80 : 427,415.70 = 272,809.40 : x
  2. Step 2: Convert to fraction form
    284,943.80/427,415.70 = 272,809.40/x
  3. Step 3: Cross multiply
    284,943.80x = 427,415.70 × 272,809.40
  4. Step 4: Simplify right side
    284,943.80x = 116,603,020,667.58
  5. Step 5: Solve for x
    x = 116,603,020,667.58/284,943.80
  6. Step 6: Final answer
    x = 409,214.10

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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.