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Finding the Fourth Proportional to 411,809.84, 617,840.20 and 201,417.20

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Solution

The fourth proportional to 411,809.84, 617,840.20 and 201,417.20 is: 302,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,809.84 : 617,840.20 = 201,417.20 : x
  2. Step 2: Convert to fraction form
    411,809.84/617,840.20 = 201,417.20/x
  3. Step 3: Cross multiply
    411,809.84x = 617,840.20 × 201,417.20
  4. Step 4: Simplify right side
    411,809.84x = 124,443,643,131.44
  5. Step 5: Solve for x
    x = 124,443,643,131.44/411,809.84
  6. Step 6: Final answer
    x = 302,187.15

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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.